I really think it is the prop shaft for a couple of reasons:
1 Rotating tires does nothing
2 Vibration is inconsistent
3 Weight is a factor
4 Speed is a factor
5 Changing the drive shaft apparently does nothing
6 Changing the torque converter apparently does nothing.
There are a couple of things that can change the angle at the rear end. The amount of torque being applied, weight in the truck (gas, passengers, payload), terrain, and trailering. Until the angle at both ends of the drive shaft are always identical there will be a vibration. Mine was so bad I changed my trailer tires in a parking lot because I thought they were flat spotted.