A casino in Laguna Pueblo keeps the slots spinning, but with an unusual gatekeeping strategy.

On a sun-drenched stretch of I-40 in New Mexico, conveniently situated between nowhere and Purgatory (but not the ski resort outside Durango—that’s in Colorado, silly), the weary motorist who can’t quite make it to Albuquerque might find this massive casino complex a welcome reprieve.It’s the Route 66 Casino Hotel, one of numerous gaming facilities in