Here's my guess: the NuForce amps are injecting RFI back into the power lines and emitting it in the air, so your BAT phono, which amplifies much smaller signals than line level, is most vulnerable. You can try installing a power conditioner (such as Exactpower or PS Audio products) where different outlets on it are isolated from each other, and use different outlets for the NuForce and BAT. On top of that, you can plug in noise filters into various AC outlets, like the Audioprism quiet line filters, AC Enacom and PS Audio Noise Harvester. Lastly, as Hals_den has mentioned, an isolation transformer should be able to completely isolate the amps (or phono) from AC noise. That takes care of the AC part.
Stillpoint ERS can partially filter out RFI/EMI emission from the amps, which is beneficial as well. There's also a device called Quantum Symphony Pro, which is designed to "neutralize" airborne RFI/EMI. It makes a big difference in sound, but I'm not sure if it removes the noise in your case. If you put all your gear on a rack, e.g., your phono in the middle and the amps at the bottom, you can stick a piece of u-Metal or copper foil at the bottom of the shelf supporting the phono, thus protecting the phono from being attacked from the bottom by the amps.
Good luck.
Stillpoint ERS can partially filter out RFI/EMI emission from the amps, which is beneficial as well. There's also a device called Quantum Symphony Pro, which is designed to "neutralize" airborne RFI/EMI. It makes a big difference in sound, but I'm not sure if it removes the noise in your case. If you put all your gear on a rack, e.g., your phono in the middle and the amps at the bottom, you can stick a piece of u-Metal or copper foil at the bottom of the shelf supporting the phono, thus protecting the phono from being attacked from the bottom by the amps.
Good luck.