Aww gumby...this is frustrating for you. I agree that the SBFT is not an optimal choice at this time. If he won't do simple stool tests because they won't provide definite answers, why the more cumbersom sbft? I would counter offer that if the tests the hematologist elects AND the thyroid test come back normal, then you would consider the sbft as a last resort. After all, that way you can look like you are working with them to try to get an answer without pushing their buttons too much.
I get my thyroid tested regularly due to my anemia and general lack of get up and go...I wish you didn't have to fight it so much with your family history. Maybe making a bigger poit of the family hx would help.
Please do see the hematologist...I have learned so much from the few I had contact with lately for others, I am hoping they can give you answers too.