There's no nonstop path between Tampa and Riga, and after a decade of stitching together this exact itinerary, I've come to appreciate that the routing matters more than the airline logo on the tail. Business class from Tampa to Riga always requires a transatlantic connection, and the smartest version of this trip pairs Delta's long-haul metal with airBaltic's regional hop into RIX, since Riga is airBaltic's home hub and the carrier controls slot priority and connection buffers there better than any partner could. Delta typically routes travelers through Amsterdam or Paris, both of which offer Delta One suites with sliding privacy doors on widebody aircraft — a meaningful upgrade over older reverse-herringbone cabins still flying some transatlantic segments. American Airlines is the alternative, generally connecting via London Heathrow or Philadelphia, with Flagship Suite service if you're fortunate enough to be booked on a refitted 777 or 787; just confirm aircraft type before ticketing, since not all AA transatlantic jets carry the newest cabin yet.
The connection city is where this itinerary is won or lost. I favor Amsterdam over London for this particular routing — Schiphol's compact single-terminal layout makes a tight Delta-to-airBaltic style connection far less stressful than navigating Heathrow's terminal split, especially for travelers arriving jet-lagged after a nine-plus-hour crossing. If your itinerary lands you at Heathrow instead, build in extra buffer time, as immigration queues there can eat into a short layover fast. My insider tip: fly into Riga rather than out on a Sunday whenever possible — airBaltic's inbound frequencies from major EU hubs are more generous on weekends, giving you better seat selection on the regional leg even when the transatlantic segment is locked into economy-adjacent scheduling.
Late spring through early autumn — May through September — is when this route rewards patience, as Baltic weather turns genuinely pleasant and Delta and American both loosen premium cabin award and revenue pricing heading into the shoulder season. Given how much these fares fluctuate week to week, setting up dedicated alerts for this specific city pair is the only reliable way to catch a fare drop before it disappears.