Colleen, I wish my husband could find a doctor like yours. His primary care doctor and the specialist he went to for the Hashimotos won't test for gluten intolerance or anything like that. They just tell him to take the thyroid pills and go home.
He is going to see a nutritionist in a couple weeks though and I think that will help. I met her in my yoga class and she deals with health issues through the diet. She's very familiar with gluten intolerance and I feel that is really going to help him.
Of course, the downside is that I will probably have to be on a semi-gluten free diet as well since I do all the cooking, shopping for groceries, etc. I will support him though and do whatever it takes to manage his thyroid problem.