I'm a fan of the Riot Shotgun, and I believe there is not much that matches it in terms of Damage Per Second, at least for non-unique weapons. It's costly to maintain, but Jury Rigging helps to solve that problem.
With the Shotgun Surgeon and And Stay Back perks, the Riot Shotgun is a [censored] instrument of death. Jury Rigging, as always, solves all your maintenance issues.
For raw power, however, the Sprtel-Wood and the Avenger are unmatched. At level 50, with all appropriate perks, you'll be pitilessly mowing down any piece of [censored] that dare cross you path. Making swiss [censored] cheese out of deathclaws.
I'm partial to Christine's Sniper Rifle, due to its immense critical damage and silencer. Sneak attacks are lethal.