If you want to actually fix your problem, you're going to have to do it right. You could half-ass it and just throw in a piston on your stock, worn out bore, but the rings will never seat right and it'll be just as bad or worse than it was before you started. You need to create some friction in there to shave some of the material off the new rings, and get them to seal to the cylinder right. When the cylinder wall is smooth, you won't get enough friction and they'll never break in properly. I guess you could get some sandpaper to rough up the cylinder, which should serve the same function as honing it. It won't be as good as doing it the right way, but anything is better than throwing a new piston in a worn cylinder.