Well, I just went out to the garage all excited thinking this was going to solve the problem, switched the clamps around, and it didn't make any difference.

Damn, that socket wrench was
cold! The problem seems like it has to be inside the hub, but what I don't understand is why it only happens when the clamps are tight? The axle isn't spinning in the clamps when I loosen them, so that's not it. Oh well, I have a couple of days off next week, so hopefully I can figure it out then.