Tivat's tiny Adriatic airport, wedged between mountains and the Bay of Kotor, has never seen a nonstop widebody from Florida, and it never will—so the real craft in booking business class from Fort Myers to Tivat lies in choosing your connection wisely. There is no single-carrier routing here; instead, savvy travelers stitch together RSW's limited transatlantic feed through a major hub before dropping onto Croatia Airlines' regional service, or funneling through Frankfurt on Lufthansa, or via Istanbul on Turkish Airlines, the two legacy carriers with the strongest reach into Montenegro. My preferred build is RSW to a US gateway, then long-haul business on Lufthansa into Frankfurt, where the connection to Tivat (seasonal, so check months carefully) is often operated by Croatia Airlines or a Star Alliance regional partner with a short hop across the Adriatic.
Lufthansa's Frankfurt hub rewards patience: arrive with at least two hours buffer, since the airline's business class lounges there are excellent for resetting before the final descent into Tivat's short runway, which demands smaller aircraft and can mean a downgrade in cabin comfort on that last segment regardless of how lavish your transatlantic seat was. If Lufthansa's newer Allegris business suites aren't yet on your specific transatlantic routing, don't fret—the airline is still rolling out the product fleet-wide, so ask your booking agent which aircraft type is confirmed. Turkish Airlines via Istanbul is my dark-horse recommendation for this itinerary, particularly because their business class lounge in IST is one of the most indulgent in the world, and their seasonal Tivat service (again, check months) tends to have lighter loads, meaning better upgrade odds using miles.
The insider move nobody talks about: book the Fort Myers to Tivat business class itinerary with a longer layover in Istanbul or Frankfurt deliberately, treating it as a mini stopover rather than a rushed connection—both hubs offer complimentary day-use lounge access that can turn an 11-hour slog into something closer to a mini vacation. April, May, September, and October remain the sweet spot for both fares and Adriatic weather, so set up fare alerts now rather than waiting, since seasonal Montenegro capacity shifts quickly and the best business class awards vanish fast.