Hi Dizzy, Welcome to the boards. I just wanted to add my two cents worth.
I had graves disease which is the same as hyperthyroid. The doctor always had my tsh in addition to the freet4. You cannot go just by the tsh.
When I was diagnosed they gave me medicine to correct my condition. Now I am hypo. I had the tsh and freet4 checked. My tsh is normal but my freet4 shows that I am hypo.
If your doctor won't do the freet4, I would try to find another doctor. The other one to get checked is the freet3. It is very important to get it checked too.
You are having the symptoms that I had with graves disease. Yours may be milder than mine. I couldn't hardly drink coffee. At night I could not sleep because I could feel my heart beating away. My hair came out easy. Had frequent bowel movements,lost too much weight, excessive hunger.
There is a lady on the boards that has very good information. She went through our situation and she knows much more than I do. Just ask for K9mom. You can ask ask much as you want to.
Good luck and take care of yourself