Well that's the thing, I don't know how the characters play. I mean I might in theory like a character but realize in practice he plays totally different because the stuff I like doesn't work in a real match against a good player. I'm not good enough at this game to understand how each of the characters play correctly aside from the obvious ones IE Deathstroke is a zoner.
Hmm, I can make a list, but it's ultimately better just to pick someone you like.
Rose kindaish:
Black Adam (Has her u2 on his trait, has great rushdown and good zoning, he's not frame trap heavy I THINK, but he's versatile.)
Batman (Might be the closest, his bats are really good at locking down, he's a great jack of all trades, and you can have a trap if you do an unsafe move then save your ass with bats. Kinda like an FADC off a unsafe fireball, has 1 far normal which is his b+2...something string that kinda resembles Rose's cr.strong, you just can't hit confirm into a special move off of it.)
Aquaman (Has GREAT mid range pokes, his pokes have the range of Rose's st.rh, st.fierce, and st.mk, doesn't trap but has Rose pokes.)
Lex Luthor (Has trap set ups from lex probes to lex mines and unblockable supers, his normals are pretty far too, his d+3/sweep is the range of Rose's sweep and he's really good at controlling space.)
I might be missing a character or two, but those are the ones off the top of my head.