Imagine not having access to a hammerspace arsenal, just what you can carry with you, for both solo play and party play. Since there are four optional slots, Imma average it and say pick any two for your hypothetical loadout. What would you want to have?
To start, my example... I have mouse wheel up and wheel down bound to weapons 1 and 2, and would have no problem putting weapons 3 and 4, if I had those slots unlocked, in very handy places without displacing anything I do not already have duplicated, so MOAR WEAPONS would be a no-brainer for me if it were that or trinkets. The Virulent Catalyser is the weapon I use most, and the one I consider most essential when T3 Menders and Thwackers are expected, so Biohazard is definitely my pick for Shadow damage. I think I would go for a BTB for piercing damage- it's not as dramatic as the needlers or Spine Cone or as fun as the Magnus, but unlike all of those weapons, the toothpicks don't have any real weaknesses either. I think Polaris is irresistible for roflstomping turrets, so the last weapon would be a Sudaruska for smashing Mecha Knights because I adore the "Thwoink!" sound and it is a way out of choosing between Blizz and Blaze. I think I would go for Divine/Quicksilver hybrid since Shock and Fiends are among the things I have most trouble with, and I cannot decide between buffing swords or buffing guns. I want a Plate Shield, and am torn between Ironmight and Volcanic, so I'll just say I'd get whichever recipe I am able to buy first.
My secondary character exists just to earn money for my primary character, so he has as little equipment as possible. All he has is
* Divine Veil
* Skolver Coat
* Grey Owlite Shield
* Combuster
* Acheron
* Final Flourish
* Shivermist Buster
So that would fit your criteria right there. But my secondary character uses only two weapon slots. If you want me to commit to just two weapons forever, I'll say Combuster and Final Flourish.