DE's are prone to do this... It was so bad on my JP that the bottom speaker had its wires desoldered.
Did you check out Mark's LAH ?
No, I actually forgot...I had too much System 11 running though my head....
I have some components ordered to do the -12v on the power supply. I doubt it will help but I'll cross it off the list.
The majority is coming from the r/h/s speaker...So another option may to be to find another speaker with better shielding