Bronze, One-Trick, and What Viable Options Are Out There

Preamble: I'm trapped in bronze. I can't get out. I've tried everything except one thing - which is why I'm here.

I don't really play the champs that are unstoppable when fed. I thought I did with Kayle and then she started getting wrecked. I thought I did with J4 and I can't figure out why but I've only ever hit a 78% WR with him and even than it's real bad early play. Like 6 deaths before I go on a rampage.

I tend to play top lane because I A. can't handle the mouth breathers I get paired with in bot lane - call that a jerk thing to say but I'm being honest, here, outside of the match. And B. it seems that every time I'm jungle my teams are either murdering everything in sight or feeding their faces off. I can't take it.

So I play top because I think it gives me the best chance of winning. I tend to play one of four champs (in order): J4, Shen, Kayle, Maokai. I was also learning Illaoi who seems pretty fun but she's banned often.

I'm stuck, I need help, and I don't know where to go. Any advice is appreciated.

EDIT: So a lot of folks are saying "In bronze anything works" or something to that effect and I think that's exactly the problem. It's not any champ. An individuals goodness - it seems to me - doesn't counteract an allies badness.

I need champs that counteract someones badness. I'm all for carrying myself out. I'm saying should I abandon my usual champ-base?

I've upvoted everyone who wrote in so far. Thanks for the help. I appreciate it.