Tampa Bay Brewing and Cigar City are pretty close. Traffic is a nightmare though so don't do it during rush hour unless you go to Cigar City first.
Also, there is a Whole Foods and a Total Wine right in front of Cigar City, if they don't have bottles of something there you might be able to find them at one of those two places. The manager at Total Wine has hooked me up in the past with beers he had tucked away for himself.