Safety 10011. Thunderbolt
Order like you can have anything, because here you can. The fried chicken and the bar snacks are the dishes celiacs almost never get at a cocktail bar, and the drinks list is one of the best in the country.
The chef-owner has celiac disease and runs the whole place gluten-free, so the only gluten in the building is the optional gluten-free beer you ask for. It made North America's 50 Best Bars, which is unheard of for a fully gluten-free room. It is small and popular, so go early or expect a wait.