One friend moved to become a patient of the #2 Lyme disease specialist.
Another moved to become enrolled in a clinical trial. He was proclaimed terminal and went doctor shopping. (Still alive today.)
I've stayed anchored in my house for decades because I won't risk leaving my care providers (SCCA, FHCRC). I've had terrible experiences with noob doctors. As in life threatening.
I now better understand how doctors think. Recurring rounds of 20 questions time boxed to 15 minutes. Hopefully they've seen your condition before. If not, oops, too bad, out of time, take two aspirin and call me in the morning. Next!
YMMV.