@filipm - I understand you are probably super frustrated by now - yes, you could go solid state, but the fact that the tubed units work fine elsewhere suggests the problem is not with your gear.
I suggest that if testing the power for DC shows that it is present, getting a Humdinger from Audio by Van Alstine. You can return it if it does not help. Just realize that atmasphere, who I am reasonably sure knows a lot more than me about this (I am just a hobbyist), is correct - transformer hum should not show itself in the audio signal, though he does say "extremely rare". Perhaps your situation is one of the more rare ones. As for damage, not sure - I think I read somewhere that the power company will fix it if very bad "for safety reasons".
I would also do what atmasphere suggested right away with your DMM - It would be a good idea to check the REF150 grounds as well, and like he said check for impedance between the ground and the chassis to ensure you do not have a grounding issue in the units. I would have thought that would present itself in all locations, but maybe it's worse at your place.