Checked out the ski songs in the Bests' New Song Fest, no luck.

My first thought was, it could be a song from Bob Gibson's Ski Songs LP, Elektra 1959. But I think the real answer is on the following:

THE COTTON' PICKIN' LIFT TOWER AND OTHER SKIING SONGS | Ray Conrad, Prestige International LP, sometime in the 1960s. It's a rarity, but may be available on EBay. See cover (it'll chill yer skier's bones) reproduced at:

http://vinyloddities.blogspot.com/2006/01/cotton-pickin-lift-tower-and-other.html

Good hunting! And make sure to miss that lift tower on the way down.

Bob