I need help. I have searched this site and nothing matches exactly what I have. This problem is making me nuts!

The facts: 2001 GTP, stock, 153,000 miles, new alternator, new power steering pump, new pulleys 30k miles ago, new belts.

When the car is cold, it sounds fine. After everything is up to temp (10-15 minutes of driving) i get a whining sound, like a belt or pulley. It is most pronounced at idle when hot. Above idle, engine noise starts to cover it up but it is still there. It does not get louder with increased rpm. It does it in park or any gear, stopped or moving. When I use the old screw-driver-to-the-ear method it seems to be loudest on any part of the supercharger, but I have little faith in that information.

Here is the damnest part: It can be squealing like a pig, I shut the engine off and immediately start it back up, and the noise is GONE! After that the noise won't come back until I drive it for another 4 or 5 minutes. This makes running it without the belts kinda difficult, but now thinking about it, I suppose I could drive 4-5 minutes without the supercharger belt. Correct?

I have heard every suggestion on the planet. Water pump, supercharger, and the last one was the PCV valve/housing gasket leaking and making noise. I need some opinions. Thanks in advance.