I have reached the stage in my recovery where if I am pressed on the issue then I'l just tell em straight that I'm a recovering alcoholic. Only if I'm pressed though obviously. I would never lie as the truth is liberating and well... The truth.
I don't drink alcohol because I'm an alcoholic. If people persist then I'l just tell them. I have nothing to fear as I'm totally comfortable in my recovery. They should be glad that I don't drink! LOL.