Another vote for Goo-Gone. Used it dozens of times for similar projects. Uh-oh, you mean an Amiga 2000 gets so warm that it actually melts rubber? Who would have thunk? lol
Dum da dum dum... DUMB! lol
BTW: after douching it down but good with Goo-Gone, I go over it with some rubbing alcohol - just to get any spurious afterbirth off....