G., I'm sorry that you are having so many miscarriages. I can't relate, as I've never had them, but I can only imagine how I would feel. I'm more of a natural person and take care of things in a more natural way, even our families health. If this were happening to me, I would be taking herbs to not only help fix the hypothyroid problem but also strengthen the uterus. There are so many things out there that has helped people have children without bad side effects.
You could go to a local health food store (not GNC, they are NOT a health food store) and tell them what's going on and the naturopath can help you. Also, you can go to this website, if you'd like, and read a little on a couple of things you could pick and try to do. www.herballegacy.com and then click up top on ailments and then you'll see a link further down on the page and click on ailments and you'll see them in alphabetical order. Look up and read a bit about some things you can do under 'miscarriage'.
You'll need to give it a few months to be able to strengthen your uterus. I wouldn't give advice if I didn't believe in it. (I've cured pneumonia without a doctor and in 3 days, etc., and I've got doctor and RN friends. lol. I do believe in doctors, I just feel that I should learn about my own body and take charge of what I can do to help it out and what I can't, go to the doctor for it...so far in 7 years, I haven't needed a doc except to deliver our babies. I'm a chicken when it comes to home births.)