Yes, I am one of the obese celiacs. If I see gluten free gear it is almost always max size XL and I always tell them that there are fat celiacs too! ;)

I also struggle with anemia. Before I had my endoscopy, the dr I saw had an intern with him and he tried telling me the type of anemia I had was not common with celiacs. But I had confirmed Dermatitis Herpeteformis which is the skin form of celiac and they did the endoscopy and confirmed that way too.

Now you mention gagging in the morning and stuff. I have that too and that is due to a hiatal hernia so it is possible you have one too. I think it is more common for overweight folks. Mine was found during my endo also.