Innsbruck's tiny alpine airport doesn't accept widebody long-haul metal, which is precisely why every seasoned traveler booking business class from Louisville to Innsbruck needs to think in terms of connections rather than a single carrier's marketing page. There is no nonstop option, full stop — the practical routing is a domestic or transatlantic hop through a major hub, with Delta running you through Atlanta or JFK to a European gateway, United funneling through Newark or Washington Dulles, and Austrian Airlines (OS) the natural finishing carrier via Vienna, where its short regional connection down to Innsbruck operates on Embraer or Dash aircraft rather than widebody equipment. I've flown this exact chain more times than I can count, and the Vienna-to-Innsbruck leg is genuinely one of the most scenic short flights in Europe, weather permitting — book a window seat on the left side inbound for Tyrolean mountain views that rival the flight you just left.
For the transatlantic core of the journey, Delta's A330 or A350 business class (their lie-flat suites with reliable direct-aisle access) makes for a comfortable eight-plus-hour crossing to Amsterdam, Paris, or Frankfurt, while United's Polaris seats on 767 or 777 aircraft out of Newark offer similarly solid international business product with strong connectivity into Austrian's network. My honest recommendation after years on this corridor: route through Vienna on Austrian metal for the final approach whenever schedules allow, since Austrian's home hub means smoother baggage handling and shorter connection times than funneling through Frankfurt or Amsterdam security lines during peak season. Arrive at Vienna International with at least 90 minutes buffer in winter — snow delays on the Innsbruck leg are common December through February and Austrian's ground staff are far more accommodating rebooking their own passengers than interline connections.
Skiers chasing December-to-March powder should expect premium pricing and tighter award space, so the sweet spot for value is January through March shoulder weeks or the October-November autumn lull, when both fares and lounge crowds thin out considerably. Given the multi-carrier complexity of this routing, setting up automated fare alerts across Delta, United, and Austrian is genuinely the smartest way to catch the pricing windows before they close.