Update: got glutened bad last time I had brunch here and had mild stomach ache the time before. Will probably not go back. Prior to that I had been several times and was okay. I have always ordered an omelette with a side of cinnamon apples and grits. One of the hostesses has celiac and was very helpful! On this last trip I got an omelette with ham in it rather than veggie and am wondering if that was the culprit.
River City Diner's Huguenot Rd location offers a gluten-sensitive menu! Although they are not a dedicated gluten free facility, they do their best to cater to gluten-sensitive customers. Most of their burgers can be ordered with an Udi's gluten free bun plus they have entree, salad, soup and sandwich options as well.