There are plenty of hotels around Denver International Airport where you will most likely be flying in. The average price of a hotel in Denver is $130.00, but you can find hotel way cheaper or way more expensive.
There are lots of beautiful mountains to ski or snowboard at. Some resorts include Keystone, Copper Mountain, Steamboat, Winter Park, Vail, and many more!
The Denver Biscuit Company, Bristo Colorado, and Black Forest restaurant are great places to grab a bite to eat.
At the air force academy there is lots of sites to see. There's the chapel and lots of great hiking and biking trails like all around Colorado. If you're hungry while you are there there is a great buffet open on Sundays.