Business Insider's reporter booked a one-night stay at the brand-new, adults-only Hotel Yellowstone in Jackson Hole, Wyoming.Joey Hadden/Business InsiderI recently stayed at Hotel Yellowstone, which opened in Jackson Hole, Wyoming, in August.The luxury adults-only resort offers views of the Tetons and Snake River Valley.My 600-square-foot room with a private balcony starts at $1,600 a night.