Well it sounds like it could be rf getting into the audio or possibly a faulty power supply. Or maybe a ground loop hum.
You could eliminate the power supply if you have a battery that could power the rig temporary, I have solved a few problems with stuff I built. Had a humming noise, so powered the rig off a powertool battery for a few seconds. As soon as I done that, humming went away so I knew it was the psu. In the end I found the supply needed more microfarads to bring down the ripple.
If you do try this, make sure you dont connect the power the wrong way round though! as mosfet and transisitors don't really like that
