Sounds like a ground loop hum. No cable tv involved anywhere in this setup? If no tv, is the sub plugged into a different outlet than the integrated amp? If so, try plugging them into the same outlet or power conditioner and see what happens. If this isn't possible, Google "ground loop eliminator for XLR", and look at your options.
Tube amps are very sensitive to both music and ground loop issues.
Tube amps are very sensitive to both music and ground loop issues.