(awesome name for a nightclub/bar)
As a general rule, a celiac can imbibe anything that has been distilled.
It is also usually better to go with a high end premium spirit (less likely to have strange additives or caramel coloring of the non-USA variety). This gives you a great reason to acquire discriminating taste-buds. Sadly, premium alcohol costs more, much like premium gasoline. Contrary to popular opinion, ordering pricey premium spirits does NOT make your pinkie finger extend while you drink your alcohol.
I wrote about GF beers in a previous post.
BEWARE of mixers - that's a post for the future.
The following spirits should all be OK. They are listed randomly, with alphabetical subcategories...
Bacardi Superior and flavors
Gosling's Black Seal
Jose Cuervo Gold
Absolut and flavors
Stolichnaya and flavors
Van Gogh flavors
WHISKEY / BOURBON
Canadian Club and Canadian Club Classic
Wild Turkey 101
BRANDY / COGNAC
LIQUEURS (tend to have a lot of gluten and junk...the following are OK)
Cointreau (for a better margarita than triple-sec provides)
SCOTCH (stick to the semi-good and good stuff)
Some people think that scotch is a no-go, but I have not read anything definitive either way. I think you are OK with the ones I list here.
Dewar's White Label
PORT? (need to investigate)