Split's Adriatic light has a way of erasing the memory of a long transatlantic slog, but getting there in comfort requires strategy, since no carrier flies business class from Raleigh to Split nonstop. The route simply doesn't exist as a single-flight product, and after dozens of trips routing through various European gateways, my clear recommendation is Delta via Amsterdam, connecting onto a KLM or Delta-operated intra-European hop, or United through Munich or Frankfurt into Lufthansa's regional network. The key factual point worth knowing: RDU has no widebody service to Europe on any of these three carriers, so your business class experience begins with Delta's A330 or A350 cabin, or United's Polaris seat, out of a connecting hub like JFK, Newark, or Dulles.
Delta's play here is compelling if you can position through JFK, where their A350 Delta One suites offer full privacy doors and excellent Flagship Lounge access on the return leg through cities like Amsterdam. United's Polaris product, particularly on their 767 and 777 fleets out of Newark or Dulles, remains a solid choice if your onward connection routes through Frankfurt or Munich, both of which have efficient Lufthansa-operated links down to Split during the April-through-October window when Croatia Airlines and seasonal charter capacity expand significantly. American, for its part, is best leveraged through its Philadelphia or JFK hubs onto oneworld partners, landing you into Zagreb or Split via a European gateway with Flagship Suite comfort on the long-haul segment.
My insider tip: book the outbound arrival into Split for a morning slot if at all possible — the airport's single small terminal gets overwhelmed by early-afternoon charter traffic in peak summer, and a morning arrival lets you clear customs in minutes rather than standing in a sun-baked queue with cruise passengers. Shoulder season, especially late September into early October, is when award space and premium cabin fares loosen up considerably, as the Dalmatian coast's tourist crush fades but weather remains glorious. Given how fare and award availability fluctuates on these connecting itineraries, setting up dedicated price and award-space alerts for the RDU–SPU corridor is genuinely the smartest way to catch the narrow windows when Delta, United, or American release their best business class fares.