Just started last night (no spoilers please) with Salvadore. I played Brick exclusively in BL1 and Salvadore is just as much of a beast even without the melee. Gunzerking gives you a massive heal and you get even more love from the Hard to Kill tree but for now I'm focusing on Rampage to get my GZ cooldowns as low as possible and make it last as long as possible.

There is just something immensely satisfying about dual-wielding shotguns and ignoring cover