Grounded amp, grounded power supply and a mo-bo not in a case will cause a ground loop.
Also, make sure that all the other mixer inputs are down.
But then you need to get a ground on the motherboard, since you are not putting it on a backplane you would need to run a cable from the case of the PSU to a mounting screw of the motherboard, best to one near the audio plugs.
Whats happening is that the powersupply will have some noise between the black leads on the motherboard side and ground on the AC side which is coming thru the amp.
Otherwise see if there are balanced inputs on the amp since that should get around the problem but I don't know if that amp has them or not, and just putting RCAs into balanced doesn't always work too well anyway.