I don't know any names specifically, but the Mayo Clinic has a large facility in Pheonix (perhaps you already knew this?). When I was first diagnosed with lupus (and in denile), I went there for a second opinion. I imagine they would have top notch doctors, if not specialists for you to work with. Hope that's of some help!
I live in Phoenix. I used to see Dr. Yocum in Tucson (University Physicians) but he retired. He was wonderful. What I was left with was serving as lab rat for the other docs in the practice with very little help with real world lupus.
That practice may have some new doctors there now and may be worth looking into....especially since UA medical school has expanded into Phoenix. Maybe the rheumatology dept has some new doctors in town here. You might look on-line at Arizona University Medical Center, or the Arizona Arthritis Center (A Center of Excellence). At UA Tucson, they run a clinic on campus...I don't know how that is since I saw Drs at their private practice.
Mayo Clinic was not interested in treating complicated lupus. I called, and that was the response I got. I found the same at other Phoenix practices. Now I go to Los Angeles for lupus care with a very good rheumatologist. I know this would not work for everyone, but so far it is working out for me. So....I understand your problem finding a good doctor here.