Ooooh... Is your amp plugged into a grounded outlet? One time many years ago, I went to a jam at an old house with old wiring, and I had a hell of a time with noise that I wasn't used to dealing with. It turns out that the outlet my amp was plugged into was not grounded. I ran an extension cord to the laundry room where the wiring was new and up to code, plugged it into a grounded outlet, and immediately my noise issues were solved.Some of my outlets are grounded, some aren't.
Could it really be this easy in your case, after all that?