This has my current build for the last several weeks. It works at medium to close range on the premise of Gaige primarily using large spread or area effect explosive weaponry to inflict heavy damage while being being tanky enough to carry a party of even the most useless assassins. (Yes, I already know "useless" and "assassin" is redundant.)
Best Friends Forever
Close Enough (3) - Just the right amount. Needed for Anarchy.
Cooking Up Trouble (5) - To be tanky
Fancy Mathmatics (5) - For the Evolution to make you extra tanky.
Buckup (1) - For the Evolution to make you extra extra tanky.
Potent Pony (5) - With load out you have over !00,000 Health and 140,000 health w/ Deathtrap active.
Upshot Robot (1) - Longer distraction time to recover.
Unstoppable force (1) - Not that bad. Not that great.