There is no nonstop path connecting New Mexico to Spain's Costa Blanca, which is precisely why routing strategy matters so much when booking business class from Albuquerque to Alicante. The most reliable itinerary funnels through Dallas-Fort Worth or Chicago on American Airlines metal before transferring onto a transatlantic partner into Madrid, followed by a short Iberia hop down to Alicante — total elapsed travel time runs a genuine 10.5 hours in the air alone, not counting connections. American's domestic first cabin gets you to the hub in comfort, but the real prize is securing space on Iberia's A330 or A350 fleet across the Atlantic, where the A350 business class delivers proper direct-aisle-access suites with sliding doors, a meaningful upgrade over the older A330 staggered configuration. British Airways routings through London Heathrow are the other viable option, and their Club Suite — now standard on refurbished 777s and all new A350 deliveries — offers similar privacy and a more contemporary hard product than Iberia's older birds, though it typically demands a longer connection window at LHR's Terminal 5.
Having flown this corridor repeatedly, my strongest advice is to treat Madrid, not London, as the smarter connection point whenever your Iberia segment is confirmed on the A350 rather than the A330 — the aircraft type isn't always obvious at booking, so check the specific flight number against Iberia's published fleet assignments before locking in miles or cash fares. Madrid-Barajas also offers a far calmer transfer experience than Heathrow during peak summer congestion, and Iberia's Business lounge there is a genuine restorative stop before the short Alicante sector. Seasonally, April, May, September, and October reward patient shoppers, since Spain's Mediterranean coast draws heavy leisure demand in high summer that pushes premium cabin availability tight on both American's transatlantic partners and BA's Heathrow routings.
Because award space and fare classes on this Albuquerque–Alicante corridor shift unpredictably week to week across three carriers and two possible hub strategies, setting up automated fare and award alerts is the only realistic way to catch the openings before they disappear.