But when I unplug the input to the amp (with the output still connected to the preamp)......the hum disappears
I still think there is a possibility that the interconnects that go from the preamp to the amp my not be shielded enough for the new environment. Try a different pair (if you haven't already) between these two (amp and preamp) that may have better shielding, or a different design. Last resort (don't laugh), even some budget ones from Radio Shack, or even a big box store just temporarily to see if this can be the problem.