May not be your case, but I'll throw out some causes for my shimmy I was fighting years ago.
I had almost death wobble twice on two different occasions. I say almost because I did not let it get that far. I slowed way down till it stopped, then took the backroads home slowly. But, it would of happened. A dry steering test identified the problem. Both times it turned out to be the frame side track bar mount had loosened. Even with the cotter pin installed, things loosened up a bit. After the second tightening, it never did it again.
But, I always had the slightest shimmy at around 45mph that I hated. Tires were 33" Toyos on cheapo steel wheels. Re-balancing would make it better, but not go away completely. It got worse again after wheeling aired down until I went back for a re-balance. When I would swap on my old Rubicon alloy wheels for the winter, there was never any shimmy whatsoever. I blame it more on the steel wheels than the heavy a$$ Toyos. I run Toyo MTs on my pickup with alloy wheels and they run true.
When I went to 35's (Pro-Crap), at the same time I did the rear Dana 44 swap, I mounted them on a new set of alloy wheels. I have never had a shimmy since. After many many years of wheeling aired down, I never needed a balance until the ProComps wore out and I had my current MTRs installed. Still wobble free.
I am not sure what kind of wheels you are running, and that may not be your problem. Just throwing my experience out there because I know how frustrating it can be. I have had other TJ buddies go through the same thing.