This is a real shot in the dark...and hopefully is not going to cause you more work for naught.

Maybe the cause of the humming is power harmonics?

There's a PDF file at http://www.fluke.com/ElectricalPower/elec.asp (go to Application Notes, which is on the left menu, third up from the bottom).

The PDF is entitled "In Tune With Power Harmonics" and on page 4 mentions humming panels.