Some interesting things that I found out about "team" doctors, they are the team doctors because they have provided a bid for business and won, usually at the lowest bid, this is common in college sports and in professional ball. I agree with infielddad, don't let that title fool you. If you would go to FL, go to Alabama, or find a doctor that specializes in shoulders, especially since ou seem to feel if a tear you want him to have surgery.
Personally, sounds more like a case of chronic tendinitous, and if so the issue should be WHY and WHAT is causing tendinitous. And all the questions asked by infielddad should be addressed and answered.