Alcohol is allowed in the Arts and Entertainment district but it can only be 20% of sales. You could petition the HARC for permission, but if you exceed this percentage they can revoke your business license.
Have you thought giving away 2 free beers with the purchase of a $5 dollar game of pool? I believe, like at gallery openings, you can give alcohol away but can't charge for it. It may be a loophole you could work within.