I'm getting an odd bearing / belt style noise at all times when I run my car. 350 T5 Gear doesn't matter clutch in or out doesn't matter and the frequency of the sound increases with engine RPM. The sound also changes a little when I give the engine a load in gear. Other than the noise the car drives completely normal fluid levels are good and it shifts great.

It sounds almost like it's coming from the transmission area so I tried replacing the clutch bearing just in case no change.
I also removed all the belts noise was still there.
Getting ready to crawl around the car with the stethoscope any ideas?

https://youtu.be/kk4yNchHGWc?si=GOKkdOm2IQdaJ9SP

 

You ruled out engine accessories by removing the belts. You said it doesn't matter if the clutch is in or out and I assume that means the noise is still there when the car is stopped clutch in and in gear or clutch out and in neutral? If so, that rules out the pilot bearing, throwout bearing and transmission.

It sounds like something rubbing. Have you looked at the sheet metal cover behind the flywheel?

 

The noise happens in all gears clutch in or out.

I will pull the cover and check behind it

 

I found the problem it was an exhaust gasket leak. A few weeks ago I had to pull off to the side of the road and my exhaust scraped when the passenger tire went off pavement. It must have hit hard enough to shift the soft aluminum gasket out just enough to create a gap and a whistle.

 

That will do it. Good find.
It's amazing how an exhaust leak can sound like other more serious issues.

 

I've found a lot of diesel truck exhaust manifolds blown out like that. Normally you can see the soot tracking from a leak but a lot of times the turbos or cab is in the way to get a good look. At least with the diesels, it's a little easier to diagnose as they whistle more when they decelerate.