My guess is a bad wheel bearing, tierod end or suspension part. Also a tire belt could be out of round which would explain why balancing won't help.

If you have a viabration in the steering wheel or dash, it'* usually the front tires/end of the car. If the viabration is in the seat area then it'* the rear. Try rotating the front tires to the rear and vise versa. If the problem is the same then it'* not the tires. If the probem goes from the steering wheel to the seat thent it has been islolated tot he front tires. If that'* the case then it can be tire, check for seperation, air pressure, balance or alignment.

Start with those methods if diagnoses. and then we can go on.

Tires are "Aurora" ...never heard of em' before...came with the car when I bought it. I recently rotated them because the fronts had half tread and the back full, now they are switched. It seems that the shimmy is the same or worse, I don't hear any funny noises during low speed driving over bumps or in turns to indicate bad suspension...or feel anything odd really either. The tires were also balanced when I rotated them, I bought them to the local Midas and every wheel came back with different weights, telling me they were out of balance completely before. The shimmy still exists, although I have to say at low speed since I did the rotation and balance the car feels more smooth. I don't know if this helps diagnosis at all, I have "Ghetto Golds" which I am replacing eventually with some nice newer Bonneville Chrome wheels if I can find some, and some new tires. The front left is now the one with the dent in it since it'* been rotated, the dent seems to just be a bend on the outer part of the rim bending it inward, not effecting air pressure in any way. I also feel no issue with ride until 67 mph.

Yeah for any car, that sounds like a steering system problem.
Say there was a bad tie rod or joint, the tension of steering would hold it in place as the wheels on a car are always trying to stay straight ahead [That has to do with the camber and toe-in of the front wheels.]
When straight ahead, there is little tension to hold the tie rods in place so if there is any play, it will show.

And yes, bent rims or bad tires will cause problems with handling. On my car when the tires were bad [from high mileage] it handled poorly at any speed, even around 15.

Get in there and check out the sttering components as much as you can.
YOu don't want something falling apart at 60 mph.

67 mph is about the speed these cars go into hyper drive. Make sure the actuator isn't stuck.

Impatient - Thanks, will have all this checked out.

Slick - Very funny, Hyper Drive, isn't that Ludicrous speed?

Sure is!

Be sure to check that front end before going to plaid again. Does the car have any wobble feeling or pulsing in the steering wheel at very low speed - like 1-2 mph, just crawling? This is indicative of a broken belt in a tire. A broken belt is pretty much impossible to see (no visual indication) and can happen to relatively new tires (like the el-cheapos on my Accord ). Boosty mentioned a wheel bearing...I'd look there too.

I will have to check out the suspension soon, thanks again guys. I have no noise indicating a bad wheel bearing, and I don't seem to feel anything at a crawl, although i'll check again. I think it might be my druish tires and/or bent rim.

My car only vibrates/shakes when I hit about 60 or so, and I know I have a loose right ball joint. I'm planning on replacing it in the next week or so, I'll let you know what happens, but I'm pretty sure that'* it, at least on my end. Hope you figure yours out!