Should have mentioned no, I'm not doing masochist runs. Fang of vog + biohazard does sound interesting, but charge only lolno.

I'll update this post with my thoughts on the two above posts after I've run with them.

EDIT 1: Finished the FoV + Biohazard run. Had to take a swiftstrike to offset the slowness of the FoV rather than my usual dread skelly shield. Similarly for the sake of making the FoV charge not all that dangerous I took health perk over MSI perk. Brought my drakon + shadow harness for extra fire damage for when I didn't want to get close.

Overall I didn't charge the FoV all that much and wolvers just took extra long to kill. However, shooting the biohazard into the crowds at the end slowly but surely destroyed them. Had to keep away from the lumbers as they had much further range and neither weapons are particularly offensive weapons. I did have quite a few moments where a biohazard shot set off multiple tags, so that was neat. I did lose an ER on the first depth because the biohazard was making the souls that spawn in my face and decide to instantly start prepping to blow explode right then and there. Didn't die on the arena depth.

RECOMMENDATION: Don't run this without proper protection. Full vog cub would likely make the FoV very nice, and a seraphynx in your party will help for sure. Biohazard should be used only on slower or larger targets, but if you can group up enemies well enough you'll land charge shots and make the crowd go wild.
RATING:: 2/5 - challenging but not very fun. Would work out better in a group environment but you would still lag behind.

EDIT 2: Finished the suda + sentenza run. Same as before with swiftstrike, however I opted for a sword ASI perk from my sprite to make my suda get max ASI so it would be more suitable for the combat the core has. Opted for an elemental seraphynx so I could shield in case I needed to, but ended up primarily using its laser against crowds of zombies since the only real way to work against them was with sword charge attacks.

Only real issues I had was with that slime + lumber wave as I couldn't get in close with the suda or else I'd be picked off by the lumbers or get dangerously close to the slimes, so I had to pretty much pick off the slimes one by one with the sentenza. Sentenza did make quick work of pretty much all gremlins I came in contact with, and suda did an alright job keeping enemies back, however the ones I wanted to keep back mostly were the lumbers and they have pretty high resistance to the non-charge knockback on that thing.

RECOMMENDATION: Not a bad loadout to try, however it needs the ASI on the sword to be good. Landing charges is very handy, however you can't charge spam this weapon as it'll end with a busted soul in your face. Pair it with a seraphynx so you can tank more hits as you'll be taking more. Also, switching out the sentenza for an obsidian carbine might be a better path as you can land some poison shots.
RATING: 3.5/5 - a powerful loadout but it needs quite a bit of help to make it survive here. The switch between fast and slow attacks may throw players off and give them a false sense of security when switching from fast to slow (souls being dangerous, lumber smashes). Has some fun factor because it's not brainless, but you'll have more moments of "oops" to really make the fun parts stand out.

Grabbing a post on here so I can edit it when I do the runs. Lotsa combos to work with here!

And I sadly don't have a hail driver so I can't do Bonjourhippo's request to the bullet, but I might be able to substitute a storm driver instead.

Also if you suggest a certain sprite perk, shield, armor/helmet set as well let me know. For the most part I'm only asking for weapon combos, but certain ideas might land better. Example for the two screenshots I posted above I wore BKC + armor of the fallen due to needing more ASI on the swords (don't have vog cub, shh), but it's also because having a lot of poison resistance was my personal defense against the void lichens, as being stuck poisoned and in sonic mode for 15 seconds is a nightmare when there's health laying around.

Since this post'll probably be edited a fair amount it'll get long, so I'm gonna make a skip around button.
Bopp's suggestion.
Vohtarak's suggestion.
Thunder-The-Bright's 2nd suggestion.
Bonjourhipp's suggestion.
Next comment.

EDIT 1: Finished the Gran faust + nova driver run. I took my dread skelly shield + shadow drakon with MSI boost this time as I've already got a fair amount of ASI on the faust to make it offensive (ASI: high as a UV, + low from fallen). If I had chaos armor it would probably fair better as an armor due to alchemers being great with charges.

The combo does fall short on gremlins and beasts, beasts especially. Wolvers are very agile and often blocked places I wanted to be, and my only way to deal with them was with the faust, which isn't to say it was ineffective just didn't have enough clear speed.
Nova driver being statusless made the final fight a bit more troublesome, as I can't just fire single shots into the crowd and have them take passive damage when I need to keep moving. Again, not ineffective but the only real "passive" damage I had was from drakon's firebolt.
Only lost my ER in the main arena room due to bad movements and timing. Not a fault in the loadout there.

That being said, a shadow drakon is almost a must for this, or perhaps a shadow masky. You need to have ranged shadow damage, or rather ranged not-elemental damage to really keep yourself afloat in the final arena when the gremlins show up. They'll bunch up so you want them to be hit by something big. Alternatively, shadow weapon charge attacks, but that's too risky with only 2 slots and -7 curse vulnerability.

RECOMMENDATION: Definitely a strong loadout. Can hold its own, however you need to have a fair amount of ASI on the faust and CTR for the gun would help a lot. Without both of those the loadout is still strong but you'll take a fair bit of extra damage.
RATING: 4/5. Can hold its own and keep the pressure up, however if pressure starts being put on you your exits are limited.

EDIT 2: Finished the WRH + grand tortofist run. Shadow drakon + healthy boost this time - didn't want to be caught off guard too often while charging to tortofist. Took BKR + PMoS this time because my grand tortofist is the only tortofist I have that's not level 10, so I needed to get more CTR to compensate - the ASI boost also proved useful.

Overall this isn't a bad combo, however you're using charge attacks far too often for my liking. Gremlins proved to be somewhat problematic, however I didn't lose my ER over the entire run. WRH got a little use but for the most part you use the tortofist charge for groups and WRH for single targets (even beasts/gremlins on low HP). You don't need a shadow ranged attack here as much however it is nice to inflict fire on enemies.
You don't need ASI on the hammer, but it definitely helps.

RECOMMENDATION: Not the most powerful loadout, however you need to bring CTR for the gun, and potentially a bit of ASI for the sword and gun. You're very vulnerable while charge attacking and need to make sure you don't accidentally throw yourself into a turret bullet with both weapons.
RATING: 3.5/5. Not the most powerful loadout, however with proper boosts it really does make for a very survivable one. You'll take forever to kill wolvers and gremlins though, as they both jump around and out of your tortoshards more often than not.

EDIT 3: Finished the DVS + Pulsar challenge. Originally you wanted a polaris but were iffy between that and a permafroster, and I know the pain of trying to DVS gremlins so I went with the permafroster this time. Ran with full black kat as my DVS has ASI: VH on it, and with an elemental drakon this time. Permafroster had ranged shadow damage down so I went with elemental to make zombies easier.

This combo is interesting, mainly because you spend much more time using the pulsar than the DVS, which is to be expected honestly. DVS shines in single-target scenarios, and in the core you've got plenty of crowds, so your crowd control secondary is used quite a bit more.
I did end up using my ER in the 4th wave, and a spark of life in the lumber/slime wave. First one of these that I've had to spark in so that was interesting. Wasn't the weapon's fault though, it was mostly situational awareness. Swarm turret hit me from across the room when I was in the middle of a bunch of them for the ER, and a soul decided to stick to me and I didn't see it until it was too late.

RECOMMENDATION: You heavily need ASI on the DVS to make it usable, and make sure to swap out your sprite damage type to be either elemental or shadow depending on which pulsar you take. MSI is helpful to position yourself, however health may save you in the event that you get swarmed.
RATING: 3/5. It is a fun combination, however you rely heavily on the pulsar and not enough action with the DVS. No enemy really becomes harder to kill though, as you can deal with everything pretty much equally - if that wasn't the case this rating would be a 2.5.

EDIT 4: Finished the Leviathan Blade + storm driver run. Since I didn't have a hail driver I went with the second best thing. Shock is the middle ground, and I do know you suggested it because of the freeze status but eh, I made my choice. Took shadow drakon + swift steps this time.

This combo is pretty self-explanatory, and pretty basic overall. You inflict a status or do a charge attack with your gun, then run in with your leviathan blade. Only issue here is that you do a lot of backtracking and/or kiting to make this method work, so the chances for a soul to explode in your face are rather high. Levi is still a reliable weapon no matter what you pair it with, however in Dreams and Nightmares it is harder to use it as an offensive weapon - defensive works much better.

The combination of these two weapons is just sort of lackluster due to needing to play defensively - in team play however this combo would work wonderfully if anyone brings a DBB, essentially killing any threat of souls appearing anyways (however they may also break your freeze, rendering this combo less useful anyways).

RECOMMENDATION: You don't really need anything to make this combo work, however CTR for your sword and/or ASI for your gun will be handy. Damage boosts will turn it into a much larger powerhouse, however enemies will not go down as quick as they would to specialized damage - but this is the case for most normal-damage weapons.
RATING: 3.5/5. Strong, reliable, definitely something to try if you want to go on a more brainless run. However the levi charge attacks are better used defensively than offensively, as defensive charge attacks will keep your health from dropping.

Acheron + wildfire I actually did a while back. For the most part my 2-piece loadouts consist of brandish primary (elemental or shadow) with some random gun of the other type as a secondary. Typically that second gun is either freeze (shadow) or fire (elemental).
Acheron + pulsar does work out a little too well. From what I have done with it I give it a 4/5 as it works well but the fun/challenge factor isn't really in. I've been running Acheron + Magma Driver as a standard personally and I give that one a 5/5 as it isn't a cakewalk but is still fun.

But I'll edit this post whenever I do try out that second one. Sorta trying to edit my posts after the person posted.