There is no nonstop option for business class from Minneapolis to Split, so the routing itself becomes part of the strategy, and after dozens of trips along this corridor, I've settled on a firm conclusion: Amsterdam is the smartest gateway for this journey. Delta's transatlantic metal, particularly the A330-900neo with its Delta One suites featuring sliding doors, covers the MSP-AMS leg comfortably, and Delta's joint venture partnership with KLM means smooth self-transfers on a single ticket. From Amsterdam, KLM or a connection down to Croatia Airlines (OU) on a regional jet gets you into Split, though Croatia Airlines only operates economy cabins on its short intra-European hops, so don't expect a lie-flat seat on that final segment — the real business class investment goes into the long-haul crossing.
An alternative worth considering is routing through a major East Coast hub on American Airlines, connecting to a European partner into Zagreb or Frankfurt before the short hop to Split; I've found this useful when Delta's Amsterdam fares spike during peak Dalmatian coast season. Insider tip: fly into Split on a Friday or Saturday in shoulder season rather than mid-week — Split Airport's arrivals hall gets overwhelmed by charter and low-cost traffic on weekdays in summer, but the weekend business-class-heavy flow from Amsterdam and Frankfurt tends to clear customs faster, saving you real time on arrival. Also, request an early boarding group even in business class during July and August, as gate-side lounges in Split are minimal and you'll want to avoid the tarmac crowd during bus-to-plane departures.
April, May, September, and October remain the sweet spot for this route, both for weather on the Croatian coast and for award and fare availability, since summer demand from Minnesota's substantial Croatian-American community pushes premium cabins into scarcity by June. Given the volatility of connecting itineraries and the absence of a single dominant carrier, setting up fare alerts for Minneapolis to Split business class is the most reliable way to catch the periodic drops that make this ambitious journey worth the miles.