This might be easier if you post the brand and model of ALL of your equipment, including the Furman. Also, your photo is too small to read.
Who installed the electrical wiring?
Where is your router WRT the AV system? If it's on a different circuit and in a different room, the ground loop can be caused by the location.
DO NOT lift any ground, unless it's only done as a test. If that proves to eliminate the hum, buy an isolation transformer and do it right- lifted grounds are dangerous and the equipment is grounded as it is because code requires it, not to cause problems in buildings where wiring is faulty or the cable feed wasn't installed correctly.
If you use a Cable TV provider, disconnect the cable feed from the building- if the hum stops (and it's likely), call them to schedule an appointment so they can fix their problem. Hand them a copy of NEC Articles 725 and 800, if they want to argue.
Have you made sure all outlets were wired correctly? If you don't have a circuit tester, I would recommend buying one and checking for reversed Hot & Neutral, lifted Neutral or Ground. You can also plug an extension cord into an outlet AT the Furman and plug the projector into that cord- if the hum stops, it won't necessarily be easy to correct. When I can, I have the electrician install a separate piece of Romex (or separate wires when they install conduit), so a power inlet can be installed but ONLY for the TV or projector. That way, it can be powered through the Furman or whatever is used for surge protection- it's the part at the bottom- the outlet at the top is for installations where the low voltage cabling has been run to the equipment location during the prewire, not as a retro installation.
If you disconnect the sub OR the PJ, it's possible that the problem is between those two and the AVR is only in the middle.