Did you ever figure out what the issue was? I'm having similar symptoms but I didn't get there the same way. In your case you were driving and playing the radio and it went poof, and no sound and the display on the climate control went blank.
In my case I took all the carpet out of the rear hatch area and installed some sound deadening material, and put everything back together and upon restarting the car for a test drive, noticed the climate control was illuminated but blank (no temp display and the buttons were not responsive).
During my project, I pulled fuse #1 which controls the courtesy lights, Bose speakers, antenna and AC, so that the courtesy lights would not be on all day and end up draining the battery. When I was done and had everything back together, I re-inserted the fuse, noticed that the courtesy lighhts were back on, thought all was good, and started the car for the drive. Then I noticed that the climate control was lit but blank and not working.
Anyone have any ideas?
Thanks in advance.
Dennis (BlackPearl1)