I thought I would post this in hopes that this will benefit someone else that has their unit out of warranty or just doesn't want to send it back to an authorized Onkyo service repair if it is still under warranty. There seems to be a rash of Onkyo HT-RC360s that have been plagued with the no audio issue recently as you can see with this thread:
I was one of those unlucky people that had no sound. Symptoms include not being able to access your network settings, no speakers indicated on display. No sound from any source including headphone jack. I thought about replacing the capacitors as that was something that was plagued with the Onkyo TX-SR606 series receiver. Then I stumbled on another AVS Forum thread
The symptoms were more similar than what was discussed in the TX-SR606 thread. Besides, that particular receiver didn't have network capabilities and it was certainly easier to do than to gut your HDMI board by replacing capacitors. I inspected the 4 chips that could possibly be BGA type. One is made by Marvell and the other Analog Devices which both appear to do video processing. Next is Nanya, which to my knowledge only makes memory so I set that one aside. Also that was the only chip that wasn't square.
The last chip is made by Texas Instrument and appears to do some sort of DSP. If you closely follow the traces from the chip you'll see that some of it leads to the network port. This would seem a likely candidate to be the issue while remaining true to the fix that was applied to the Onkyo TX-NR5007. The person did reflow both chips but based on the symptoms and what I ended up doing I think only the chip closest to the network port is the issue.
I removed the board and applied some liquid flux (Kester 951) under the TI chip or whatever your flux preference may be. I took a sheet of aluminum foil and pressed it onto the chip to make an impression and cutout the impression to only expose the chip while the surrounding components are covered in foil. Set my hot air gun (you could use heat gun but I'd be careful with the heat) to 460F and proceeded to warm the whole board for about a minute.. Then I proceeded to apply heat directly on the chip from half to an inch away from the chip for about 2.5min. After this was completed I slowly moved the heat away while it cooled naturally. At this point do NOT touch the board or jolt it. Let this cool for at least 20 minutes.
After I waited for the board to cool I reinstalled the HDMI board with no screws back in just in case I may need to reflow the chip again. This wasn't necessary as I had access to everything again. Now I'm in the process of looking for a RAM heatsink or BGA heatsink to put on the chip. The fan mount runs over part of the chip so the clearance is maybe 3/4". Speaking of the fan, I noticed that the 120mm fan isn't spinning in unit when it is powered on. Is it only supposed to come on when it reaches a certain temperature or is this dead too which may explain why the chip may have malfunctioned?
I hope this helps someone revive their Onkyo HT-RC360 even though I replaced it with a Yamaha RX-V673.