Carving a path from the Rockies to the Baltic coast requires patience, because there is no shortcut around the fact that business class from Boise to Gdansk demands at least two connections given the absence of any nonstop or even one-stop widebody service out of BOI. The most reliable routing I've found over multiple bookings pairs Delta or United through their US hubs—Minneapolis, Seattle, or Chicago for Delta, Newark or Chicago for United—into a transatlantic gateway like Amsterdam, Paris, or Frankfurt, then a final LOT Polish Airlines hop into Gdansk. Delta's transatlantic metal typically features their Delta One suites on A330neo or 767 aircraft, while United's Polaris seats on 767 and 777 fleets offer direct aisle access and a genuinely restful lie-flat experience for the long eight-hour-plus Atlantic crossing. LOT itself operates primarily narrowbody Embraer and 737 equipment on the European legs, so don't expect lie-flat seats there—it's a short regional hop, and the real business-class investment should go toward the transatlantic segment.
My preferred build is routing through Amsterdam or Frankfurt rather than Paris, since both cities offer smoother connections to LOT's Gdansk frequencies and less congested immigration processing for US passport holders transiting onward within Schengen. If you have a long layover in Frankfurt, Lufthansa's business lounges are worth the wait, though you'll be flying LOT rather than Lufthansa metal on the final leg. One insider trick I've used repeatedly: booking the Delta or United transatlantic segment as a separate business-class award or revenue ticket from the LOT connector, since combining carriers this way often unlocks better positioning space and avoids the premium pricing airlines attach to full itineraries touching secondary Polish cities.
January through March, and again in October and November, consistently produce the softest fares on this corridor, as leisure demand to the Baltic dries up outside summer festival season. Given how fragmented this routing is across three carriers, I'd strongly recommend setting up automated fare alerts rather than manually checking—pricing on these connection-heavy itineraries fluctuates unpredictably, and the best business-class value windows tend to open and close within days.