Getting from the Heartland to the Dalmatian Coast in a lie-flat seat requires a bit of routing savvy, since there's no way around at least one connection. Business class from Omaha to Dubrovnik almost always means threading through a major East Coast or Midwest hub before crossing the Atlantic, and the three domestic carriers serving OMA—Delta, American, and United—each offer credible premium products for the long haul. Delta's transatlantic metal typically features Delta One suites (on A330-900s or 767s depending on the European gateway), United routes through hubs like Newark or Chicago with its Polaris business seats on 767 and 777 aircraft, and American connects via Philadelphia or Chicago with Flagship Business on its 777-200s and 787s, occasionally paired with a Flagship Suite on longer legs. None of these carriers fly nonstop to Croatia, so the real strategic decision is which European or connecting city gets you a same-day onward hop into Dubrovnik, since DBV's seasonal flight schedule thins out considerably outside summer.
Having flown this corridor several times chasing shoulder-season fares, I've learned that Amsterdam, Munich, and Zurich tend to offer the most reliable onward connections into Dubrovnik without an overnight layover, and Lufthansa or partner metal often fills that final short-haul segment rather than the marketing carrier itself. My insider tip: build in at least a two-hour connection window at your European hub, because Dubrovnik's airport, while charming, is quite small, and misconnections during peak July-August tourist season can mean a full day lost waiting for the next flight. If your schedule allows flexibility, try connecting through Munich on a Tuesday or Wednesday—weekday inventory in Lufthansa's business cabin tends to open up award and upgrade space that weekends rarely offer.
April, May, September, and October remain the sweet spot for this itinerary, both for fare value and for Dubrovnik's Old Town without the cruise-ship crowds that swarm the Stradun in midsummer. Given how erratic pricing can be on a route with this many connection permutations, setting up automated fare alerts is genuinely the smartest way to catch a rare dip in business class availability before it disappears.
