Damn, I can see how frustrating this must be! It is one of those "how is this happening?" sort of problems.
Just to cover all the bases here, you mention all four having the same noise - have you been doing all the testing here on just one unit? Possibly there are multiple problems causing similar symptoms and a different unit will respond differently? Also, if these all came from the same source, is there a previously done mod that could be causing a ground loop or lift?
Tried swapping V3? Replaced mix resistors with metal film? Tried shielding the resistors, pot wiring, wrapping the whole damn thing in tinfoil?
I am quickly running out of ideas and I'm sure you have tried all this and more.
One last crazy thought, perhaps the rivets have oxidized and made the grounding sketchy. Perhaps take a larger drill bit and use it to spin the rivets if possible to get a fresh bite on the panel?