There is no single airport in the Balkans that rewards patience quite like Tirana, and after a dozen or so routings through Europe to get there, I've concluded that the connection you choose matters more than the cabin itself. There is no nonstop option for business class from Austin to Tirana, so the itinerary lives and dies by its hub: Delta routes you through Amsterdam or Paris via its joint venture with Air France-KLM, Lufthansa funnels through Frankfurt or Munich, and Turkish Airlines threads everything through Istanbul, which remains my preferred gateway given its late-night bank of arrivals into Tirana. Total transit time hovers around 12 hours of flying, but the layover architecture can add anywhere from three to eight hours depending on which alliance you trust.
My strong recommendation, after testing all three, is Turkish Airlines. Istanbul's connection to Tirana is short, frequent, and forgiving of delays out of the US, and Turkish's long-haul business product—lie-flat seats with direct aisle access on its 787 and 777 fleet—holds up well over the transatlantic leg from a US gateway. Lufthansa is worth chasing if you can land one of the newer Allegris-configured aircraft out of Frankfurt or Munich, though Lufthansa hasn't rolled Allegris out fleet-wide, so confirm the specific tail before booking. Delta's Amsterdam or Paris connections lean on Delta One suites with sliding doors, a reliably excellent product, though KLM's regional aircraft onward to Tirana can feel like a step down after that experience—pack a neck pillow and manage your expectations for the final hop.
The insider move here is booking your onward Istanbul-Tirana or Frankfurt-Tirana segment on a separate, more flexible fare class when award space is tight on the transatlantic leg alone—agents at Turkish's Istanbul transfer desk are notably accommodating with rebooking. January through March and October into November consistently show the softest fares and lightest loads, since Tirana's peak tourist season runs summer. Given how much these fares fluctuate hub to hub, setting up automated fare alerts is the smartest way to catch a business class fare drop before it disappears.