Bighorn cabin is a private property (although left open as a storm shelter) located at about 10800 feet in the Gore Range Wilderness. A good moderate hike and definitely one of the least steep in the area it is great for those looking to head into the mountains and photograph wildflowers, see some wildlife, and enjoy the great outdoors. The trail used to be a part of an old wagon trail so be sure to look for signs on the sides of the trail to be a part of the old homesteaders travels. You will reach some rock fields, to be sure of the way make sure to look for cairns (rocks stacked up like a tower). Not far from the Antlers in Vail this is a great hike accessible to all. One thing to remember is that parking there is limited so going early or taking the bus is recommended. Also, for the aggressive hiker this is a good way to reach the Grand Traverse which is a long ridge at the height of 12000 ft designed for mountain bikers and expert hikers.
Here is a terrain map provided by Google showing the basic route up to the cabin and some other trail heads in the area.
View Bighorn Cabin in a larger map