If the ceiling is high enough, you could put in a raised floor. I did that with my former home in Jersey which had water-in-the basement problems (even with 2 sump pumps and a moisture barrier between the block walls and the paneling, I was never sure if it would stay completely dry), and it worked beautifully.
The contractor put down some sort of galvanized 1"x2"s or 2"x2"s a foot or two apart, then put a regular plywood floor on top of them, and then carpeting. It really wasn't that expensive, either.