I pulled the wheel seals earlier today, and I also got a National P/N from 3B. Armed with that information I was able to get the wheel seals. It took trips to 5 different part stores, but I got them.
With those parts, I was able to finish putting the rear end back together.
Man, it drives like a whole different truck now. That pinion bearing must have been going bad for a long time. The whine is gone, the vibrations are gone, and with the new 3.38:1 gears, it makes a world of difference.
Thanks for all the help and allowing me to use all y'all as a sounding board.