including Verizon FIOS box and TV,
If it is indeed a ground loop hum problem I would start with isolating the CATV coax cable from the Verizon FIOS box. Disconnect the coax from the box, check for hum.
If the hum is gone buy a ground isolator and install it between the incoming CATV coax and CATV box.
http://www.jensen-transformers.com/datashts/vrd1ff_manual.pdf