I just tried plugging the source and the amp into the same outlet in several different locations. Hum does not go away. Hum also occurs if source is powered on or off.
I double checked that the ground to the chassis is a good connection and roughed up the aluminum a bit, still no results.
If I understand correctly, the amp must be getting some type of feedback through the RCA connections, but when a ground is connected between the amp and the source, this difference in potential is neutralized. I am still convinced something came loose through shipping back and forth across the country, but am having trouble locating the source of the bad connection.