Unless your u-joint is totaly wasted, I dont think it is a u-joint problem. Do you hear the contact of the drive shaft to the floor? Does it happen over bumps, more often or worse when the car is loaded with more people or loaded trunk? Or just under heavy load?
I had the same problem with my 71, only happened when loaded and hitting large bumps/dips. I't turned out to be a driveshaft length problem. The driveshaft was bottoming into the trans when the rear suspension compressed and causing the trans to lift at the tail shaft and allow the u-joint area of the driveshaft to hit the body under the floor.
I would check the trans mount and see if it isn't broken or saturated with oil. Also check the drive shaft slip yoke depth into the trans, measure the amount of the driveshaft yoke that isnt into the trans. The distance from the tail shaft seal surface and the end of the round portion that slpis into the trans. You should have a minimum of 1.5 to 2 inches of exposed shaft. If that makes any sense.
Hope that helps, let us know what you find.