I have a few suggestions that you might want to try to bolster your arsenal. Now I assume you finished tvhm at lvl 50 and you don't (or do) have the dlc's. You can choose to play tvhm mode from the menu screen, go back to hunter hellquist to farm the bee shield.
Back to the dust behind Ellie's garage to farm chubbies although chances are they might not be as rewarding compared to when they turn to tubbies in uvhm its still worth a shot from there you might spawn, the black queen at the end of the trail, that might drop the nukem launcher, then backup a little to the fork in the trail and then make your way up left to the graveyard by the church to farm mobley (for the veruc) and gettle (the lyuda).
While you're there you can also farm gwen's head pistol in boxes around the dust, perhaps not the most popular among bl2 players but the 7 round fire burst and bonus crit damage, I think it might be worth your while as its one of the easiest to farm. And it spawns w/ all elements and twin prefix versions.
Another easy farm in tvhm is the smg lascaux. Either flying or stopping prefix worked well for me. It'll always spawn after quitting and saving in the same location (shallow pool of water) in frostburn canyon. You do have to fight enemies to get there and if you take a certain route you can farm both the lascaux and the hellfire smg from a mini boss named scorch not to far from each other.
There's a host if others you can farm over and over in tvhm around lvl 50 to help you w/ before you continue in uvhm mode. Here's a link to the loot maps found in this forum to get you started.
And if you're on ps3 send me an FR. I have a few lvl 50 I can give you. Good luck mate!