We have 3 in our family with Celiac. We have eaten here multiple times with no issues. We also steer clear of the sausage.
Excellent BBQ and worth the drive from Austin. The celiac twins have enjoyed the brisket, ribs, and chicken, as well as the potato salad with no ill effects on multiple occasions. We confirmed that there is no wheat/gluten in their sauce or the rub used on the meats. I won't risk sausage in general, so I didn't even ask.