Conservationist and media mogul Ted Turner’s 550,000-acre reserve straddles the New Mexico-Colorado border and feels like a private national park. The vastness of the land almost guarantees you never see a crowd while mountain biking, hiking, or horseback riding. But, safely accompanied by your skilled guide, you almost always will run into the resident bison, elk, black bear, mule deer, and pronghorn and bighorn sheep. From $1,200, all-inclusive.