Some of the beaches around Galveston are ok, if you like that sort of thing. "Historic" architecture from a century ago, too. There was spectacular hurricane wreckage east of there all the way into Mississippi last I passed through, but maybe that's been cleaned up by now. New Orleans, of course, and even if you don't stay (which as a drinking man perhaps you ought), a trip through the neighborhoods largely abandoned after the storm is like stepping into a post-apocalyptic future. Port Arthur is worth a visit (although you'll want to be long gone before sundown) if you ever wondered what Janis Joplin was so tortured about. If you've never seen bayou landscapes, a quick transit on the Louisiana backroads is worthwhile; same with a few of the Mississippi Delta towns just for context. More nice-ish beaches, although often clogged with high rises, once into Florida from Alabama.
None of it qualifies as world class, with the possible exception of New Orleans. You're into the thick of Spring Break--probably just past the crest now--so don't expect peace, quiet, solitude or frequent evidence of adulthood.
Hope that's helpful.