When driving my Cobra I get a steering wheel shake at 50 to about 57 MPH. If speeding up or down it goes away. The tires have been balanced over and over to no end. I even used an old fashioned bubble balancer to check the balance.
While in storage the car was on jackstands on the lift unless it was being moved and this shimmy was an issue before the last teardown so it hasn't been sitting on the tires for a few years.
I started checking the tires for being out of round and found one of the front tires to be out by .090 and the other front to be at .045 both are BFGs. In comparision the Kumhos on the rear are out less then .010.