Generally, the best choice is a wall shelf--which will probably improve the overall sound, as well as fix the skipping problem.
Trying to move the turntable might help. I have a Linn LP12 (which has the same sort of problem) and in one installation, one part of the room was unusable, another part had no real trouble.
Finally, you could replace the turntable. You might not want to do that, but if your thinking of upgrading, anyway, this could be your excuse.