Boise's Gowen Field isn't built for transoceanic ambition, which is precisely why the routing strategy matters more here than on most transatlantic itineraries. There is no nonstop option: business class from Boise to Amsterdam always requires a connection, typically through Salt Lake City or Minneapolis on Delta, Denver or Chicago on United, or a domestic-to-international handoff onto KLM metal via one of its US gateway cities. Delta's one-stop routings often feature the Delta One suite with a sliding door on widebody aircraft for the transatlantic leg, while KLM operates a mix of 777 and 787 business class cabins with lie-flat seating, generally accessed by connecting through a Delta domestic segment first given the lack of KLM service out of Boise itself. United passengers will typically route through Denver or Chicago O'Hare, connecting onto United's Polaris business class, which offers proper lie-flat seating and Saks Fifth Avenue-designed bedding on longhaul aircraft.
Having flown this connection pattern repeatedly, my strongest advice is to prioritize itineraries that route through Minneapolis-St. Paul when flying Delta, since MSP's international connections to Amsterdam are frequent and the terminal layout minimizes the frantic gate-to-gate sprint that Salt Lake City can sometimes require during peak season. An insider tip few travelers know: KLM's Amsterdam Schiphol arrivals process foreign business class passengers quickly through the dedicated crew and business lanes at passport control, so building a tighter connection on the Amsterdam end than you might on the Boise end is generally low-risk if your domestic leg runs on time. Winter and shoulder-season travelers—January through March, then October into November—consistently find the most favorable business class availability and pricing on this corridor, since Amsterdam's tourist crush eases and airlines open up more premium inventory to fill cabins.
Given the multi-airline, multi-connection nature of this route, fares shift constantly based on which hub and carrier combination has open award or discounted business space that week—setting up fare alerts is the smartest way to catch a favorable window before it closes.