Use the Lodge as your base camp for snowmobiling miles of groomed trails located close by. Below is a map from the Washington State Snowmobile Association web site showing trails and the location of the Lodge (purple represents groomed trails). Click here for a large version of this map.
You might also try your hand at ice fishing, walk right out on the lake. Palmer Lake is very popular for it, picture below. Be sure to watch the eagles feast on any left-overs the next morning. We have seen 20 of them all gathered in one spot.
For ATV enthusiasts, you can get on an extensive trail system just a few minutes from the lodge. Here is a map showing ATV trails in orange: