I think I'd let the kids know what a great place it is and that if they want to enjoy it they must all arrive with snowshoes or cross country ski then be prepared to ski th 4 miles in to you. It sounds lovely and would make an interesting family reunion. I hope it works out for you and your kin, ACE.
When we're snowed in here I like to bake bread or sticky buns- makes the house smell wonderful.