Finding a Doc can be pretty difficult. So many of them are so very uneducated when it comes to proper thyroid care and testing.
You can call around to your local clinics or the docs on your health care providers approved doc lists and ask if they have docs with an interest in thyroid diagnosis and care. Also ask what tests they use. If they say TSH only... hang up and call the next name on your list.
If you've already determined that you'd prefer using Natural Thyroid rather than synthetics, you're best bet is going to be go to your local pharmacies and talk to the pharmacist. Ask for a list of the local docs that prescribe Armour, or other natural thyroid brands and then call them to check on testing procedures.
Ask your friends and co-workers if they have any recommendations for doctors.
Check with members in support groups to see if there is anyone in your area or knows of a good doc in your area.
You may find that you have to go through several doctors before you find one that is willing to work with you to get proper thyroid care.
Something that you may want to keep in mind while doing your doctor search. Put as much care and concern into it as you would when checking for any other service provider, do not 'settle' for a doc just because they were will to take your money. Find a doc that cares about you AND your health.