Baltic-bound travelers from Central Texas face a fundamental truth: there's no nonstop path to Riga, so the real decision on business class from Austin to Riga isn't which airline flies direct, but which one-stop routing offers the smoothest transatlantic transition. American, Delta, and airBaltic all touch this market, but the most sensible strategy pairs American or Delta's transatlantic business cabins on the AUS-to-hub segment with airBaltic covering the final leg into Riga. American routes efficiently through its Charlotte or Dallas-Fort Worth hub before crossing to London Heathrow or Philadelphia, where you'll connect onward; Delta similarly funnels through Atlanta or JFK toward Amsterdam or Paris. From any of these European gateways, airBaltic's short regional hop into Riga rounds out the journey, typically in a comfortable Business Class cabin on its Airbus A220 fleet, which offers blocked middle seats and enhanced service rather than a lie-flat product.
Having flown this corridor several times, I'd steer travelers toward routing through Amsterdam or Paris on Delta rather than London, simply because Schiphol and Charles de Gaulle tend to have faster, less congested connections into Baltic-bound flights, whereas Heathrow's terminal-to-terminal transfers can eat into a tight layover. If your itinerary allows, build in at least 90 minutes in Amsterdam for a shower and coffee at the KLM Crown Lounge before the final short hop — a underused perk many long-haul flyers skip in their rush to gate-check. American's business class on the transatlantic segment, typically Flagship Suites on 777-300ERs to London, delivers a fully lie-flat, direct-aisle-access seat that makes the ten-plus-hour total journey feel far shorter than it looks on paper.
Late spring through early autumn — May through September — brings the best combination of fare value and pleasant Baltic weather, with Riga's Old Town at its most alive during these months. Because pricing on this route fluctuates with fuel surcharges and seasonal demand shifts between the three carriers, setting up automated fare alerts is the smartest way to catch a premium seat before it disappears.