There weren’t many options. I brought a salad from home and topped with a cheeseburger patty. They do not cook buns on the same cookspace as burgers, and said they were willing to change gloves. My food was brought separately from the rest of my party.
EDIT: when we came back to eat, a woman more knowledgeable about celiac told me that buns ARE in fact cooked on that cook top. The only celiac safe item according to her is the grouper salad.
— Not at all
— No gluten-free information on the menu
— Not Much
— Good