There is no nonstop path linking upstate New York to the Montenegrin coast, so the real work in booking business class from Albany to Tivat happens in the routing decision, not the seat search. The practical answer: fly ALB out through a major East Coast gateway, then connect onto Lufthansa, Turkish Airlines, or Croatia Airlines (OU) into the Adriatic. Turkish Airlines runs the most logical single-connection itinerary via Istanbul, with a mainline widebody business product on the transatlantic sector featuring lie-flat seats and their signature onboard chef service, before a short regional hop down to Tivat. Lufthansa routes through Frankfurt or Munich, where their long-haul cabins increasingly feature the new Allegris business suites with doors on select aircraft, though you'll want to confirm equipment before booking, since older 747-8 and A340 configurations still fly some frankfurt rotations. Croatia Airlines, a Star Alliance regional partner, typically handles the final leg from Zagreb or Vienna into Tivat, and while its intra-European cabin is a standard recliner rather than a premium long-haul product, it's a short, low-stakes segment after the heavy lifting is done on the transatlantic legs.
Istanbul is, in my experience, the smartest connection point for this itinerary — Turkish's business lounge there is a genuine destination in itself, with a cooking station and enough space to reset before the final descent into Montenegro's coastal approach, which is one of the more scenic landings in Europe when weather cooperates. My insider tip: book the Tivat sector as a separate award or discounted revenue ticket rather than forcing a single through-fare, since Croatia Airlines' limited seasonal Adriatic schedule often prices absurdly high when bundled with a transatlantic business fare, but reasonably when ticketed independently. Aim for April–May or September–October — you'll dodge the Adriatic's summer surge pricing and still get warm, walkable weather in Kotor Bay.
Given how thin and seasonal this routing is, fares between these three carriers swing more than most transatlantic markets, so setting up continuous fare tracking for Albany–Tivat business class is genuinely the difference between an average deal and an exceptional one.