The smell of alcohol does not come from the inside of your mouth, rather it comes from your stomach. Covering the smell of Vodka with mints or mouth wash would only be temporary at best. If you are just trying to avoid mom or dad from catching the odor, you might get away with breath mints but don't think this will fool a police officer making a traffic stop. Traffic officers will alert to the breath mint smell for what it is and assume you are trying to mask the fact you have been drinking.
Jadeacres