For the most part, you want to keep distance between you and the enemies in T3. Two hitter swords are great at doing this since they do nice damage and have a large arc/knockback. There aren't many situations in T3 where using a Dread Venom would be a good choice over another kind of sword, unless you're focusing down a Mender or something.

Stick with your Vile Striker for jelly runs, you should use a sword with a nice charge attack or "safe" basic combo for T3.

A question like "is red better than blue" is always, and will always be situational. As of now, Divine Avenger is the best weapon for the current endgame [Firestorm Citadel has several enemies that are weak to elemental damage, such as Red Rovers and Slag Walkers.]. So if you're planning on doing several Citadel runs, the DA would be the right choice. The Gran Faust does as "little" damage to undead and fiends as the Divine Avenger does to Gremlins and Beasts, which goes back to my situational comment.

A common misconception about the Gran Faust that deters people from using it as that they think the basic attack has a chance to Curse you, and since Curse is [arguably] one of the best status effects, people stay as far away as they can from it.

Truth is, it only has a chance to curse the user on the charge attack, I'd like OOO to edit the description a bit to include that. As such, the Gran Faust isn't exactly a charge attack weapon. "But Tsuki, you just said you should have a weapon with a good charge attack for T3! Why would anyone even use the Gran Faust if you can't use the charge attack well?" because Curse is just that good of a status effect. If Strong Curse is ever cast on an Alpha Wolver, it will kill itself in three bites. The damage on that status effect is incredibly worth it, the only way to keep people from spamming the charge attack would be to add the risk of cursing yourself while doing it [or removing the curse proc entirely, but I think the whole Curse aspect of the Gran Faust makes it what it is].

TL;DR
Stick to jelly runs if you plan to use a Vile Striker/Dread Venom. Divine Avenger is the best endgame sword if you plan to do Citadel, which you should. This is only for now, once we get a new Gremlin boss [King Tinkinzar perhaps], I'm sure the Gran Faust will make a major comeback.

Any other questions?

Is it the aesthetics of the Vog Cub Cap, or that you can't fathom knowingly wearing it?

You could always wear a costume helm over it.

Ed.: Kind of 'ninja'd'.

You can! I can confirm this myself. Costumes can be seen everywhere you go! There's quite a large handful of people who do this, though you typically don't think they are, simply because their costumes have good stats. I've been wearing the Skelly line on top of my Vog all this time and nobody's really wondered about whether it is a costume until they see me actually not dying when I've been set ablaze!

woops

I agree with Lymojo! He has good advice, except I don't agree with the last part. Left with two elemental weapons, then bring a DV or GF (those are both also elemental weapons). I recommend a Leviathan or a Khorovod in place of either of the half-elem/half-norm dmg ones (you need to have both to cancel out the enemies they don't work on).

Attack Speed Increases on your armor affect your weapons. In fact, if you get that Vog Cub Coat with an ASI: Medium UV, that's pretty good, since you'll have a Maximum! Attack Speed Increase for your Swords.