Billund's compact, arrivals-hall-in-minutes terminal is precisely why Legoland-bound executives and design-world travelers keep asking me about business class from Washington Dulles to Billund — and the honest answer is that there's no nonstop, so the routing itself becomes part of the strategy. The most reliable option runs via Copenhagen or Frankfurt: SAS connects through CPH with a short onward hop on its A320neo business cabin, a fine complement to the long-haul leg, while Lufthansa routes through Frankfurt using its evolving Allegris business seats on select 787/747-8 configurations (worth checking your specific aircraft, since older 777 business seats still fly some rotations). KLM, meanwhile, funnels traffic through Amsterdam with its World Business Class recliner seats on the 787-9, a smooth option given Schiphol's efficient transfer process. Total journey time hovers around 11-12 hours door-to-door once you factor the connection, though the transatlantic segment itself is roughly 8 hours.
My preference, after flying this corridor repeatedly, is the Frankfurt connection when Lufthansa's newer Allegris cabins are in rotation — the door-enclosed suites on refreshed aircraft are a genuine upgrade over the standard staggered seats still found fleet-wide. If you're routing through Copenhagen instead, arrive with extra buffer during Danish summer, when CPH's domestic/Schengen transfer area gets crowded with tourists heading onward to Jutland; SAS's lounge there is a reliable, uncrowded refuge even in peak season. An insider trick I've used: booking the SAS CPH-BLL leg as a separate award ticket sometimes opens up business availability that's blocked when searched as a single itinerary from IAD — worth trying both ways before you commit.
May through September brings the best combination of fare softness and daylight-heavy European connections, since airlines add summer frequencies into Scandinavia that ease award and upgrade space. Given how much these business fares fluctuate connection-to-connection, setting up automated fare alerts for this specific IAD-BLL corridor will save you far more effort than manually refreshing search results every week.