Two snowmobiles rumble upslope high in Utah’s Wasatch Mountains, 40 minutes east of Salt Lake City and just west of Park City, arriving at Big Dutch Peak, an elevation of 8,170 feet. The landscape that unfolds is endless, with 10,000-foot peaks—the roof of the world—and the Jordanelle Reservoir below. This is the site of Deer Valley East, a significant new public recreation area being added to one of the country’s largest ski resort areas developed since skiing’s heyday in the 1980s...