You have a potential ground loop because your pre-amp is grounded, your power amps are grounded and you have interconnects between them as well. Now the ground has a completed circuit. There can be a slight voltage to ground thru the equipment finding its way from the pre-amp ground to the commonly connected power amp ground and then back to the pre-amp via shielded interconnect.
You have several options. First I would lift the ground off of the pre-amp. See if the hum doesn't stop. Or you keep the ground on the pre-amp and lift the ground on the power-amps.
Or you could take the shielding off of the interconnect cables at the connector terminal, keeping them grounded at only one point. Some audio cables have direction arrows on them, pointing away from the grounded end. Some folks have played with isolated audio transformers with a 1 to 1 ratio, but I believe the sound quality may suffer.
Good Luck!

Many audio manufacturers avoid grounding their equipment for this very reason.