The Broadmoor Golf Club - Colorado Springs, CO
Both the Broadmoor and it's 3 golf courses are rich in history. The East Course has hosted the US Senior Open, The US Amateur, and the US Women's Open Championships. The hotel has hosted various heads of state, famous athletes, and celebrities. After you are done exploring the golf course, it's worth some time to explore the hotel, or vice versa.
Set at the base of the Cheyenne Mountain, Donald Ross originally designed the East course in 1918. In 1965, Robert Trent Jones Sr would add the West course with changes to the original design of the East Course. The Mountain Course was added in 2006 and designed by Jack Nicklaus.
I would only have time for the East Course and a walk around the hotel, both are top notch walks. The course is a favorite with families that return year after year for fun at the hotel with some championship golf on site.