Do you have the factory HU or an aftermarket one installed? If it has the screen still powering on but no sound, it sounds like the speaker outputs are just blown. If that is the case, I would just get a new one.
**EDIT** I have a Pioneer Premier HU from a few years ago, and it still powers on and everything works except the outputs for the speakers. It works just fine if using the RCA outputs though. The reason mine don't work is because I accidently touched two of the outputs together and fried it lol. I'm assuming that's something similar to what happened to yours.