There's no direct route linking Indianapolis to the Latvian capital, which means booking business class from Indianapolis to Riga is fundamentally an exercise in choosing the right connection rather than the right aircraft. Delta remains my preferred routing on this itinerary, typically connecting through Amsterdam or Paris, where the airline's transatlantic joint venture with Air France-KLM puts you on a widebody with lie-flat Delta One seating for the ocean crossing before a shorter European hop into Riga on a regional partner. American Airlines offers a similar structure via London Heathrow or a European gateway, using its Flagship Business cabin on the long-haul segment, though its onward connections into RIX rely on partner metal rather than mainline aircraft. AirBaltic, Latvia's national carrier, doesn't operate widebody business class but is worth knowing as the airline you'll likely finish your journey on regardless of which US carrier you start with, since it dominates short-haul feeder routes into Riga from major European hubs.
Having routed through both Amsterdam and Heathrow on this exact itinerary, I'd steer first-time flyers toward Amsterdam: Schiphol's transfer process is faster and less congested than Heathrow's Terminal 3 to Terminal 5 shuffle, which matters enormously when your connection window is tight after a nine-hour-plus total journey. One insider detail rarely discussed — AirBaltic's short intra-European segments from Amsterdam or Frankfurt into Riga are often ticketed as a single itinerary with Delta or American, meaning your checked bags and boarding passes carry through even though you're technically switching alliances, so always confirm this at check-in in Indianapolis to avoid unnecessary stress at the connecting airport.
Seasonality favors travelers from late spring through early autumn, with May through September consistently producing the strongest premium-cabin availability and value, largely driven by Baltic tourism demand and business travel into Riga's growing tech and logistics sectors. Given how few nonstop options exist and how much routing flexibility affects both comfort and fare, this is a route where setting up automated fare alerts pays real dividends over time.