There's a particular satisfaction in routing yourself through a hub city rather than enduring a marathon domestic connection, and that's exactly the calculus that governs business class from Albuquerque to Istanbul. Since no carrier flies this route nonstop from Albuquerque's Sunport, the practical answer is that Delta, United, or Turkish Airlines will route you through a major gateway—Atlanta or JFK for Delta, Chicago, Newark, or Washington Dulles for United, or a connection onto Turkish's own metal once you reach the East Coast. My preferred routing after dozens of iterations of this itinerary is connecting through JFK or IAD onto Turkish Airlines directly to Istanbul, because it means only one long-haul segment rather than splitting the journey awkwardly across two mediocre transatlantic products.
Turkish Airlines' business class on its long-haul 777 and A350 fleet includes lie-flat seating with direct aisle access on most configurations, and their Istanbul Airport hub is genuinely worth the connection—the Turkish Airlines Lounge there remains one of the most expansive and food-forward lounges in the industry, with live cooking stations that make a long layover feel like a destination unto itself. Delta's transatlantic partner Air France-KLM equivalents don't apply here, but Delta One suites on their widebody fleet out of JFK or Atlanta are a reliable alternative if award space on Turkish is scarce. United's Polaris seats, particularly on 777-300ER aircraft out of Newark, offer another solid option, though I've found award availability tighter on United's Istanbul-adjacent partner routings than on Turkish's own inventory. My insider tip: search Turkish Airlines award space specifically for Wednesday and Saturday departures out of Istanbul, when I've noticed premium cabin loads run lighter, improving upgrade odds if you're flying revenue fare.
January through March and October into November consistently produce the softest fares on this corridor, as leisure demand to Turkey drops and business travel hasn't yet ramped up for spring conferences. Given how much these fares fluctuate week to week depending on carrier capacity shifts through their hubs, setting up automated fare alerts is the smartest way to catch a premium-cabin fare drop before it disappears.