Many years ago when I was dx'd with RSD, I was sent to the Milwaukee teaching hospital. It was a frightening experience for a 16 year old, but they got the dx right and I felt I was in good, if not gentle, hands.
For my dx of MS I went through the UCLA system.
I am also having trouble with depression and cannot find a psychiatrist in my area taking new patients, so my neuro is going to try to get me into their psychiatric teaching school as a patient. Even if I only see an intern, it will be supervised by a PhD.
I guess teaching hospitals have always done me well.
Good luck to you!