Looking at the forum posts, is Aquaman and Martian Manhunter really that broken? Oh man.
Personally I don't think it's that they're THAT broken, at least not compared to broken characters from other fighting games, but they are better than the rest.
Honestly it's more of a matchups thing. Those two characters have mostly even or positive matchups, and Aquaman also hard counters a couple characters while not really having a direct counter himself.
Then again, I'm a no-name, so what do I know?
EDIT: Also you may want to give Bane a try. He sounds like he'd fit your style.