I ran 32's with no lift. It didn't rub in turns or offroad as far as I remember. 33's will fit with no lift. I would have run 33's but I have a set of running boards that they would not have cleared. It is possible that they will rub, but not sure. Now I have 2.5 inches of lift, and after my 32's wear out I am getting 33's. The 32's look a little small on 2.5" sometimes to me. 33's would look great.
My Chevy isn't broken, its just out of gas.