Your problem is fairly common and is most likely caused by either a bad ground connection or an earth loop.
You pick up classic FM normally because the wire/cable in question just happens to be the length near or equal to the standing frequency or sub-divisions of the broadcast frequency.
Clearly the first focus should be the powerlink cables and I suggest to prove if that is where the problem is you connect a wire between the screen of the powerlink plug and mains earth. If classic FM goes, then you have found the area of the problem.