Well, for starters, you can see if there is a support group in your state or region. Locals from your area would be better able to fill you in on how docs are in nearby towns.
You do NOT have to go to an endo to get competent care for your thyroid condition. In fact, in many places, (the Dallas/Fort Worth area for example) There isn't an endocrinologist that I have heard consistently good things about. MANY people find better care with a DO, Naturopath, MD, PA, or NP rather than an endocrinologist. I, personally, have been seeing a PA for my thyroid care, since I was diagnosed.
You can talk to lacal pharmacists and ask if they can twll you which local doctors prescribe Armour. Even if you don't want to go on Armour (it ISN'T right for everyone) knowing which docs prescribe Armour will tell you which docs are likely to be open-minded enough to treat you well.
The Armour Thyroid website can also be a good source for doctors
I am not a doctor, nor have I ever played one on TV...