Am I correct in seeing the starter come into view early in the video, when the noise is the loudest? Is it possible that the spring-loaded starter solenoid gear is not disengaging, once the motor starts?
I think that's the starter. While poking around with my new stethoscope this evening, I searched that area pretty well, no luck.
You need a mechanic's stethoscope to help pinpoint the area where noise is from. They are inexpensive and a must for finding noises.
Picked one up today. What an amazing little diagnostic tool. Unfortunately I was unable to locate the source. I poked around for quite awhile with no luck.
I feel like I was able to rule out the transmission, although I did notice for the first time that the transmission crossmember is not original to the truck (probably a red herring for this issue). It doesn't have the same waxy undercoat as everywhere else. (undercoat is covered in sand and silt from a couple remote camping trips in southern Utah, not rusty).
I also noticed the trans support has some musical notes... It's off topic, but still interesting.
The more time I spend under the truck while it's squealing, the further forward I think it may be. I'll have to drop the plastic skid pan and do some more stethoscope-ing this weekend. I'll update with results.