So the very TLDR is that a slightly out of balance brake drum can cause a really annoying highway speed shake. That was the problem all along.
The long version...with pictures haha...I had put the rear wheels/tires onto the front as suggested. No change in the shake. So I was really out of ideas. However, I decided to throw my brake drums onto the wheel balancer at work to see what I could see. The passenger side was pretty good. The driver side on the other hand had a very obvious runout. I never felt this in the pedal. Less than 3k miles on them, and it is clearly a manufacturer defect.
You must be registered for see images attach
I ordered up two new drums (11x2in size), and for good measure threw those on the balancer. They were perfect. I then cleaned and painted them black. I noticed that they had no weights on them like the old ones and they seemed lighter, but I didn't think too much of it. Obviously if I had looked closely I would have noticed a problem. When they dried, I excitedly went to put them on the truck, and low and behold, I have the 11x2 3/4 HD brakes on my normal C10. Why? I have no idea. So now I have these painted drums that don't fit.
You must be registered for see images attach
You must be registered for see images attach
I order another set of the correct drums and put them on for a test ride. Well, the shake now changed. It felt different and started out at 62mph instead of 67mph. I put the new drums on the balancer, one of the two is clearly out of round, in addition to a little out of balance.
You must be registered for see images attach
I then take the original passenger side drum that had balanced ok, and put that one back on, along with the new good driver side one. Voila! No more shake. At least none that I find unacceptable in 52 year old technology.
The good news is Advance Auto is letting me return the drums I painted, and now I have to just do an exchange on the out of round new one for hopefully a good one. Of course there's none in a hundred miles from me, but that's ok, I can wait. Thanks for all the suggestions!
You must be registered for see images attach