Time tested and proven... I've been able to solo everything with great ease.
Equipment- I'd recommend a DPUH in one hand, Slagga in the other. 94% Sham is great. Auspicious Raider class mod. Grenade mod is really subjective, but I personally love both the Quasar and the Meteor Shower. Sheriff's Badge is a wonderful relic to use, too.
EDIT- Feel free to substitute a few points into I'm Your Huckleberry, too. I usually just leave it alone, though.