Thanks Jeff.
I found two mistakes in my post. (1.) I have TV1 connected via Component cables and (2.) TV2 by composite cable.
I understand these are both analog signals. Is that right? If so, then an HDMI would cure TV1 but TV2 and the hum would remain. Right?
Yes, they are both analog signals but, no, the HDMI wouldn't do it. The interference is happening before you get to those cables. Here's what a ground loop is, and how a ground loop occurs.
When a satellite system is installed without a ground, or is improperly grounded, a ground loop occurs. Period. The ground loop is caused when there is more than one ground connection path between two pieces of equipment. For example, if the dish is grounded to a copper ground rod driven into the ground, and the receiver is grounded to the houses ground through the three prong grounded outlet, a ground loop is created because of the different potential between the two grounds.
The duplicate ground paths that occur form the equivalent of a powered loop antenna which very effectively picks up interference currents. (Satellite systems power up the coaxial cables all the way back to the LNB as they back-feed voltage to the LNB to activate it for the correct transponder needed.) These currents are transformed into voltage fluctuations.
The resulting ground loop induced voltages cause the ground reference in the system to have an unstable potential, so the signals ride on the noise. The noise then becomes part of the program signal.
What is happening occurs between the receiver and the dish and all related cabling. By the time you get to the output, the noise is already merged with the output signal.
HDMI would likely produce a similar result as component or composite cable.