Try snowmobiling. Find a place to rent snowmobiles in town.
Take a dogsled ride.
Go sledding or tubing. Finding your own hill is cheap. Look around and you may be able to find a place where you pay to rent a tube AND you will get towed up the hill...
Have a snowball fight or build a large snowman.
See if there is an ice skating rink in town.
Take a scenic gondola ride.
Go to the bar in the ski lodge.
Go enjoy the nightlife after skiing. Go to some bars in town. Look for bars with daily drink specials as these will draw the largest crowds.