If possible, go back to TVHM and get a vibrapulse or hail. If you can’t do either of those, get a probe and spam vladof cryo grenades, then all you’ll need is an explosive weapon.
If you find yourself dying this much, maybe its your approach to gameplay, instead of your gear and build. Try staying really far back. Run in to spawn enemies, then run away and pick them off one at a time from safety. If you’re facing a boss use whatever cheap weapon combo you can get.
If you need money, farm the “Guardian Hunter” mission on TVHM. They should be easy to kill and they drop a lot. Also, you could try a lvl 50 shield of ages, it will have higher capacity than any turtle shield you’ll get for awhile, and it will make leeching easier. You may even want to spec into the "Podsnappery"skill in the contract tree if you find yourself on low health often. Transfusion grenades can assist with regening health, or singularities can constantly stagger enemies.
Don’t get too caught up in doing the job the “right way”, whatever that may be. Use whatever tactic you can to make money and progress. If that means spamming grenades every mob and constantly running away, so be it. What matters is killing the enemies and looting their gear.
BTW: What specifically are your “terrible” weapons? Are those lasers beams or railguns? Are they hyperion or Dahl? What about the SMG?
If you’re at the bosun, then you could do the Shock Dome arena if you have it. The Haymaker is a nice adaptive shield that may due you some good until you can find another shield.Or you could do springs mission to get the Oz kit that regens health when you pick up Oz cannisters. You could farm RedBelly for the striker, which may help a bit. Even green maliwans or Droog sniper rifles will do fine.
And whatever you do, don’t get frustrated. That probably isn’t something that will help you right now, but Borderlands is a game that kicks your butt when you’re mad it at, especially at the stage of the game you’re at. If you’re getting angry, take a break, and just come back to the game when you feel like messing around. Take it slow, go around and kill whatever your gear and skill allows you to, even if its baby kragons, so you can build some confidence with Aurelia. From there, just try to ease yourself into the rest of the game.