I always wanted to go winter camping and never have. Something about the smell of coffee and bacon in a camper with snow outside. I bet it won't be crowded, so you'll hear nature all around you and have a lot of room.
Pack your snow clothes and take hikes, build a snowman, and make snow angels. Go back in camper and smell coffee again, perhaps hot chocolate too! I'd be excited.
One consideration is moisture. Presumably, you'll be inside more and exhaling creates moisture indoors. I would suggest this all the time...but esp. if in a lot with humid conditions....get some moisture absorbing stuff. I use this:
Damp Rid Refillable Moisture Absorber - Best Price