As a Colorado resident for 30 years and a former ski instructor and avid golfer I find this a very interesting thread.
You want "very convenient access to great golf and great skiing".
I think we all understand "great golf" or we wouldn't be on GCA.
By "great skiing" do you mean the destination resorts? Vail, Aspen, Breckenridge, Steamboat, Park City, Snowbird, Squaw Valley, Heavenly, Whistler, etc.?
Or the smaller, less glitzy, lower profile places like Bridger Bowl (Bozeman, MT), Snowbowl (Missoula, MT), Mt Bachelor (Bend,OR), Loveland / A Basin (Summit County, CO), Winter Park (CO), Taos (NM), etc.?
Several people mentioned skiing and golfing the same day - is this on your wish list for the ideal second home?