Where did you get the idea that wheat is bad for hyperthyroidism?
White flour is made of wheat, white bread is made of white flour, therefore if you think wheat is bad for you, you won't eat white bread (or whole wheat or rye, which all contain some white flour as well).
I use Mountain Bread rice wraps which is 70% rice flour and a lesser amount of wheat flour. It is SO much better than than full wheat wraps. So much lighter and delicious. I wrap ham and cheese inside and then cook it on the frypan to make the bread nice and crunchy. I don't have an intolerance to wheat anyway but I still don't eat a lot of wheat.