Sounds as your pinion angle isn't out of the norm, however if your springs are weak it can cause the pinion to be higher than the trans output shaft or excessive spring wrap under acceleration which will change the angle enough to exacerbate the problem.
With the car on the ground measure the angle of the driveshaft. This will tell you if the pinion is higher or lower than the trans output shaft. If its higher then the weak springs are most likely the problem. Vibration on acceleration only is a classic symptom of this and you may need to add a shim to the axles and adjust the pinion angle down a couple degrees to make up for the weak springs if that's the case. Or add air shocks.. your choice.
This is probably redundant but... after you measure the trans output angle and the pinion shaft angle and you compare them, they should be equal and opposite. Then subtract the angle of the driveshaft from those two angles. The result should be less than 5 degrees. If its more than that you're stressing the "U" joint which can cause the vibration, not to mention early failure.
Also proper torque for the rear "U" joint cap bolts is 17-20 ft. lbs. Anything more than that will put the "U" joint bearings in a bind which will cause premature failure and could also contribute to your vibrations.
Good luck.
I know you have tried everything and you are still pulling your hair out. Years ago I had the same problem with a 1964 Polara I had bought from a fella.
The vibration was no different than yours. It took me quite awhile to figure it out. One day while at a car show in the Bay Area I ran into the previous owner of my car. I had no contact with him for several months after purchasing the car (did not know him before).
Anyway, I just happened to ask him if he experienced the same vibration I had going on. He actually apologized to me that he did not disclose to me during the purchase that he had run up a curb and took out a very small tree. He replaced the front bumper, part of the grille, AND the damaged rear right wheel.
When I got home, I put the back of the car up on jackstands, and ran it up to speed. Guess what I found? The replacement right rear wheel/tire were rotating in a slight elliptical motion.
It was moving up and down more than a badly mounted (centered) tire. I found the right rear axle to be slightly bent. Once replaced
ALL of the vibration was gone.
It might be a long shot, but I would remove your rear wheels and rotate each axle by hand while measuring each and every mounting stud on the drums/hubs from the floor and make sure they are moving in a correct circle.
But I would also look very closely at the drive shaft as has been already mentioned.
Good luck with your problem and be blessed...
God Bless America,
Mike