Axton is 56, building towards Double Up/Gemini (currently has Double Up, Longbow, and about halfway through the survival tree). Regarding the UCP, as noted in other threads, my position is disinterest and mild disdain.
The Bee - if Axton needs it in situations where other VHs don’t, that’s pretty much the definition of wimpy dps right there. Anyway, he’s been mostly retired for about six months now. I came to the conclusion a long time ago that he’s a very poor match for me. If he could get a Leg. Soldier and/or reach 68, he’d probably be OK, but neither is very likely to happen.
On topic:
Sal did a couple more Forest runs looking for a Monk COM. The second time he went all the way down to the mimic chest in the orc camp, and it had three Monks! All purple with +4 M$, sadly, but one was CE with +5 Asbestos. Comparing performance on treants with the Leg. Berserker, the Monk wins handily, even a garbage purple like that. Good enough for now.
Next, he did the Ol’ Slappy quest to unlock Striker farming. Naturally a Striker dropped, and equally obviously it had useless parts (mag size 3).
Then Sal chilled with some bandits because I like that side quest, and went back to Sanctuary while I decide what to do next with him.
Gaige did the WEP and reached level 42. One death, because unlike Krieg and Sal she does not laugh at rabid stalkers. She did get the Pimon & Tumbaa challenge done, though. Lots of purples and blues during the run, but by far the best loot drop was a perfect parts green Coach Gun. That’s a nice gun! 
Then one more HH run with Krieg before logging off. Nothing, as usual.
I’d just suggest that you do casual allegiance rather than strict allegiance. I believe every single one of Krieg’s COMs is from Bandit, so you’re going to have at least one empty slot if you go strict allegiance. Items - I think the only Vladof gear my Krieg has right now is the Rapier. It’s fairly easy to get and you’ll never need to replace it (it’s for stabbing things, so gun damage is irrelevant). Good luck!