66gtk,
Mine feels like it's in the front end, too. At 55, it feels like a shimmy, at 60, it's more like a vibration. At 60, I would put it in the "not safe to drive at this speed" category.
I've had the tires balanced three times in the last week (three different places). It has made only a minor difference. I don't know for a fact how they were balanced, but I would guess hub centric.
I've only had the car a couple of weeks, and I do suspect the car sat for a relatively long time. The radials on the car are pretty cheap (Nitto N470). I'm wondering if they have flat spots. Is there any way to tell for sure?
BTW, I have a 66 K-Kode GT, too. It has what I believe are original styled steel wheels, and it drives extremely well.
Kerry