Had my first physical therapy appointment today. The good news: the therapist agrees with my doctor that I'm very likely to get better without surgery. The bad news: It's going to be slow (months?) and painful - the exercises he's given me basically boil down to "move your arm to the point where it hurts, and hold it there for a bit."
The therapist would like me to avoid overhead pressing and rock climbing for now. Other than that, I can do whatever.