I think if you have a modified vehicle that drives on the road its a good idea to be checking your suspension/steering out regularly, even if you don't have vibes. Especially if you have had issues with wobble though (mini or full on DW) because all that shaking could easily work things loose (specifically frame side TB bracket with XJs - I welded mine on after it happened several times). Sounds like its probably tire balance to me, but I've seen out of balance tires + sloppy links make for DW. Why not take 15 mins to be sure?
As skyhi said, could be a u-joint too. As he also mentions, when tires are out of balance you can usually notice minor shaking at all speeds above parking lot. If you've got other sloppy stuff or it just hits the sweet spot in RPMs, you can get the "wheel jerked out of your hands, vehicle has become self aware and is trying to kill you and the public at large" feeling that comes with true DW.
I won't pretend to know what the OP's problem is, I've seen lots of causes for it and am no longer surprised at them. Just making some suggestions based on my experience with XJs...