Q: What else can cause a shake/vibration/shimmey?

Hello. Although you mention that you have new tires, there are instances where the construction of the tire is such that it will vibrate no matter how well it "appears" to be dynamically balanced.

This is based on what I have seen in the field. To eliminate the possibility that you have a tire-related vibration, simply install Michelin (or equivalent) tires. If your tires are new, bought at a national chain, and under warranty, I would ask the tire store to switch them out at no charge to you to eliminate this possibility.

There are a finite number of rotating elements on a car that will vibrate at speed. A mechanic, by process of elimination, and dealing with most likely first (tires), will simply go through the list. There are a few "fixed" items as well that can cause the symptom you are describing, notably the engine mounts. What I would do at this point is have a mechanic set up wireless chassis ears at each "corner" of the vehicle’s suspension to see if the source of the vibration (and accompanying noise) can possibly be narrowed down to one area. It is of course also possible that there is an imbalance in a rotating component of the engine/transmission, such as the torque converter or flywheel. With a careful investigation of the vehicle, a certified professional from YourMechanic can come to your car’s location to diagnose the vibration issue and let you know what needs repair.