2003 Buick Lasabre wobbles when accelerating

My Buick started wobbling during accelerating a few months ago. It only does this from 45 to 55 MPH. If I stay between 45 and 55 it continues to wobble. Slower or faster and it quits. I’ve had it in the shop 4 times and they can’t find the problem. The first shop changed the steering angle sensor for $326.00 but that didn’t fix the problem. I took it to another shop. They couldn’t find anything wrong. I took it back and they said a tie rod end had some play. They changed that for $200.00. They did an alignment afterwards. They’ve also balanced the tires twice during this process. None of this fixed it. I took it back and they couldn’t find anything so I ask them to check the motor mounts and they said they are good. They said everything in the front end feels tight. I like my car without the wobble and it only has 79,000 miles on it. How am I going to find out what the problem is?

Ask your mechanic if he can detect any play in the inner constant velocity joints of the axles.

The fix would be a new axle.