Dubrovnik's medieval walls draw a particular kind of traveler—one who's earned the right to arrive well-rested rather than road-worn, which is precisely why the routing question matters so much on this itinerary. There is no nonstop option for business class from San Antonio to Dubrovnik, so the real decision happens at the connection point: American, Delta, and United each route travelers through their respective East Coast or European gateways, meaning your total journey typically stretches to 14-16 hours including the layover. American's best play is connecting through Charlotte or Philadelphia onto a joint-venture partner into a European hub, while Delta favors Atlanta or JFK with onward service via Amsterdam or Paris, and United typically routes through Newark into Frankfurt or Munich before the final hop to Dubrovnik. American's transatlantic business class product, Flagship Suite (on select 777 and 787 aircraft), offers reliable comfort on the long-haul segment, while Delta One Suites and United Polaris both deliver solid lie-flat experiences with direct aisle access on their widebody fleets—critical for a westbound itinerary this long.
Here's the insider detail most guides skip: the final leg into Dubrovnik is almost always operated by a regional partner on a narrowbody aircraft, so your true "business class" experience is really the transatlantic segment—budget your expectations accordingly for that short hop, and treat the connecting hub layover as your chance to shower and reset in a proper lounge (Munich and Amsterdam both offer excellent options for this). Given Dubrovnik's punishing summer crowds and cruise-ship congestion, I steer clients toward April, May, September, and October, when the Adriatic light is arguably better for photography and the airport itself moves faster.
Fares on this route swing meaningfully with shoulder-season demand and partner award space, so rather than checking sporadically, set up automated fare tracking for San Antonio to Dubrovnik business class—the deals tend to surface briefly before European summer inventory locks in, and having an alert do the watching for you is the only reliable way to catch them.