Ground the audio inputs of the SID’s to earth.. this will drop the background noise by about 80%
I put switched inputs on mine, so when nothing is connected, the input is shorted to ground.
That is assuming you are talking about the SID’s background noise, and not just pure 60 Hertz (Or 50 Hertz for us Aussies & NZ’ers) which might relate to your power supply / options.