So, the radio display goes blank and the radio goes QUIET? (The radio is having a problem). Or does the radio go quiet with the display not going out at all? (Probably the Power Amp and not the radio).

Which is it?

Which ever it is, get the owner's manual out and check the fuses associated with the radio and/or power amp. Any corrosion on them? If so - there you go. Clean the corrosion from the terminals and replace the fuse itself. (Have fun taking it apart to get to the terminals...)

Go to WalMart and get the keys to remove the radio - pull it out and verify the plugs are in and locked.
Pull up the floor mat on the passenger side - check the PA cables and connectors for being locked in place and look to see of there is any water down there. (There are at least two ways water can end up down there. Check back with us and let us know what you find).

I think if you search "Radio Removal Tools" here on the forum, you can find the WalMart part number for the keys to the radio. I've posted it at least twice.