That's what I'm going to do, check all the connections. It's strange to me that the light and not just defrost will turn it back on. Everything but the radio is fully functional when it's cut out. Additionally, I had the radio come back on in acc mode shutting off the pickup, and then die again when I turned it on. Maybe a RAP issue? I need it to quit working so I can test for RAP power when it's not functional.
My first thought is the BCM is going bad, and cutting juice to the radio until something spikes the voltage and wakes it up. Seems unlikely though. The next possibility is a bad connection somewhere. And I guess another possibility is just a crazy radio.