From all the tests you have done, and the results, I believe that your noise is RF interference entering through your inputs and being amplified by the Ear as though it were an audio signal. I suggest getting some shorting plugs (cheap on Amazon) to verify this - just get two of those and connect them at the inputs (not the outputs!). Then listen to the amp. I suspect you will then have no noise at all (which is as it should be). If you have no noise, then that is how the sound is coming to the amp - not through the tubes, or the power, etc. The fact that you do not hear this noise when not in your apartment, and the fact that the noise reduces when you grab the cables makes me think this.
Some equipment used to come with shorting plugs way back when (my old Luxman R1050 had two phono inputs which came with these as they (shock!) amplified noise from my wifi router when not in use.
If this experiment has no noise, then not sure what you can do - either get rid of the source generating the RF (hard to do if it is not in your apartment), or perhaps the Ear has an RF filter (ceramic capacitor or an RF choke) on the input and it has failed. I seem to recall my old NAD preamps had these soldered inside on the inputs for this very purpose. The Ear may not have this at all, but it would be good to pop the lid and check - your Ear may have some kind of input filter and they have failed or their solder joints have failed and they are longer connected to ground?