Unfortunately, Travelocity's extensive United States of America hotels portal doesn't feature a single place to put your feet up in or around Brackettville.
Alternatively, 170 miles (277 kilometers) away from Brackettville there is Austin, which is home to extra Travelocity-approved hotels and apartments. They include Four Seasons Hotel Austin and Residence Inn Austin-University Area.
While you are in Brackettville, take the time to investigate more of what Hill Country has to offer. Hill Country is known for rolling hills, and common tourist destinations are art galleries. Popular things to do in this particular region of United States of America include mountain biking, rock climbing and hiking.