1995 Other Saturn Models Shimmy at 55 to 70.

Shakes or Wobbles problem
1995 Other Saturn Models 4 cyl Front Wheel Drive Automatic 106k miles

I'm getting a shimmy at high speeds (55 - 70). It shimmy's more when turning left and shimmy's less when turning right. It also shimmy's more when accelerating. I don't get much of a shimmy when I let off the gas pedal.

This all tells me that my problem is a CV joint, but when I took it in the mechanic told me that my tranny joint was bad and needs replacing. I do have transmission probelms but I have that isolated.
I replaced the tranny joint on the lower driver side, the problem seems to diminish a bit, but at that time I wasn't driving it long distances.

I'm wondering if I should just try elimination by replacement and do the shafts, or if by chance the bad tranny joint put too much stress on the other joints and made them bad as well. I've ruled out brakes or tire components due to the lack of shimmy when I'm at speed and coasting.

Any advice would be greatly appreciated.