Re: Are these tests adequate for diagnosis?
It can be hard to find a good thyroid doctor, one who understands the right tests to run and how to interpret them. It can be done, though.
Ask everyone you know whom you know to have thyroid disease if they're having good luck with their treatment. I accidently found out that three of the assistants in my dentist's office are hypothyroid, for example. If I needed to find an MD, I'd ask them about theirs.
Ask area pharmacists directly (not their counter help) for names of MDs who prescribe Armour thyroid or Cytomel. These MDs are usually more thyroid savvy than ones who won't prescribe these drugs. Compounding pharmacists might be especially helpful. Make sure you don't ask for a specific doctor recommendation. They can't ethically provide that. But they should be willing to give names of several MDs who write particular scripts.
Find a holistic doctor. They understand that the thyroid is the "Master Gland" that controls the proper function of every system in the body. My own doctor is a licensed MD who treats homeopathically. He's in the best of both worlds; because he's an MD, insurance reimburses him, and he totally "gets" hypothyroidism. Osteopaths (DOs) also practice holistically, and because they are the most mainstream of the "alternative" style of doctors, insurance also usually reimburses them.
Good thyroid doctors are usually not endocrinologists... Although, there was a report by someone here on the board just yesterday of finding a really great one. There are a few good apples in that barrel, but they are generally scarce.
Just don't give up! Let us know what happens.
"We can complain because rose bushes have thorns, or rejoice because thorn bushes have roses." Abraham Lincoln