Let's think about this logically. You only get the shake at speeds over 50. So that means that it is something that is rotating in proportion to the speed of the car and imbalanced that is causing the shake. Only a couple of things have those properties.
Since a steering rack doesn't rotate, nor do the tie rod ends, nor the brake pads, they wouldn't cause it. Also, since Corvettes are not front-wheel-drive, there is no driveline universal joint on the front axle. Rag joints are only used on the steering column, and they don't rotate either. So we can rule those out too.
The force exerted by an imbalanced rotating assembly is multiplied by its distance from the axis of rotation. So the further from the center, the larger the imbalance will be. So we can rule out a hub imbalance, because it isn't far enough away from the rotational axis to cause a vibration you'd actually feel.
Rotors generally only cause a shake like this when you apply the brakes, not when you're just cruising down the highway. Unless they were made in China.
Shocks damp the forces of imbalance, but don't contribute to them.
This leaves wheels and tires. Definitely find a shop with a road-force balancer, Hunter model GSP9700.
Also, check the castle nuts on all ball joints to make sure that they are tight and the lock pins are in place.
Dave D