Yeah, sounds weird. I would have said that it was a 90% chance of being the driveshaft, but with your tests I guess you pretty much eliminated that. Surprised that it vibrated under the same circumstances though, with the shaft removed. In that case there was no power input into the differential so the dynamics would have been completely different from when it's used as the drive diff.
As I said, weird...
Not really sure what it could be in a diff that could do that going in a straight line. In theory (I think anyway) there is literally nothing going on inside when you're going straight. Under power or coast, when both wheels are turning at the same speed there is nothing going on inside except to do with the ring and pinion gears.
A slight difference in tire size could do it. Whether from wear, different air pressures, or just size variations, a little would do something. But would also only be making things move just barely inside.
Guessing that if something is indeed wrong internally, it could possibly have an effect. But can't think of what.
Did you try the different driveshaft alone by any chance? Just your pumpkin and your 74's driveshaft?
Good luck.
Paul