Hi outdoorgirl, I have both neurogenic TOS and eagles syndrome. I had an anterior scalenectomy on my left which did nothing for symptoms - waiting to see a vascular about TOS. You may want to look into the ENVEST physio program for TOS as many other programs start with strengthening which is for the most part the wrong approach. ENVEST focuses on stabilizing neck muscles and on breathing exercises before strengthening.
I am also waiting to see a surgeon about ES. It is tricky because many of the TOS exercises may impinge on the styloids.
I am curious about your ES journey. How did they find out you had jugular compression? My TOS MRI/MRA/MRV studies show IJV compression but they were looking at it from a TOS lens not a ES lens (I found out about my ES a year after these studies). What were the definitive tests for jugular compression from the ES?