Sounds fun, Catrin! I love camping out there.

Most of the extra stuff DH and I bring are related to cooking/eating, e.g., plates, bowls, and utensils, the food itself, a camp stove, and stuff to clean up with, including dishsoap, towels and a bucket. I always try to think through the prep for each meal so that I don't forget anything. What are you doing for food?

Beyond that, I'd bring your floor pump, extra lube, and a rag to wipe down your chain. Your bike will get incredibly dusty from the trails right now.