[shorod]

I still suggest you move the front wheels to the rear and the rear to the front and see if the shake in the steering wheel gets any better. Without feeling the side-to-side movement, it's hard to say if there is enough play there to be concerned with. You may just be getting the play in the steering gear, or you may have loose tie rod ends (inner or outer). However, from your description of the wobble, it sounds like the tire may be an issue. Moving it to the rear should cause an inprovement in the steering wheel shimmy at speed.

A reputable tire shop should be able to determine if the tire is out of round, either by checking the runout on the car or using a dynamic balancer. Some shops may even have a load balancer which should definitely show a bad tire. If they want to check the runout on the car, it would certainly be better to have the suspect tire on the rear since there's no drivetrain connected to it there.

-Rod