Ok, you can come up, but if you want to do some tobogganing, pick your destination carefully. Most of the facilities have been shut down over the years.
And if you want to try it, you need to train, these guys are seasoned professionals.
They endure months of 12 ounce curls, body waxing, and weight training.
https://www.youtube.com/watch?v=VmI3zx_nwPk
No better trails for snowmobiling than along the souther shore of Lake Superior.
Some darn fine skiing in the UP of Michigan also.
Snow angels can be made anywhere.
Snowman building, you want wetter snow, so usually a bit further south.
And if you can be here by New Years day, there is the Polar Bear Plunge, where you can run across the ice and jump into the chunky water of Lake Michigan.
If you are lucky, it will be mostly open water with few ice chunks to cut your frozen flesh.