what tire on a 15" wheel?

[Centrifuge]

Hey guys, thought i would throw this out and see what you have to say. My car is tubbed with a 15x15 wheel in the back, I want to put slick on it that is more narrow than the 15" wide slick that it has on it now. It does not have bead locks, just screws.

Wondering what tire is feasable to put on this wheel, I am looking to put a 28-29" tall tire, any thoughts or experiences would be appriciated

Thanks