The John Moulton Barn in Grand Teton National Park may be the most photographed barn in the world—with good reason. It sits in a sprawling meadow with unhindered views of the Tetons’ craggy tips.

Those who want to get photos of what is arguably the most iconic view of the Tetons – the range rising behind the district’s T.A. Moulton barn – don’t have to wait until the preservation ...