This quest also becomes a hell of alot easier with some companions. Sulik is available in Klamath for a fairly cheap price and he is one of the best companions in the game.
I would suggest leveling up to 3 or 4 to get a perk first, though. That quest is tough, but there is a reason for it... Gecko skinning is a great perk, and
Spoiler in the back there is a pre-war weapons cache filled with all sorts of good stuff, although I think you need an electric lockpick to get to it
Edit: Ahh, I see that you have Sulik already. Throwing a SMG on him might help, or a powerful melee weapon.