I was wrong. The superintendent says only in your campsite or with you. Fear things will be left. Subject to the ranger there but leaving it a a ranger station would be fine. And always call if you have a question or special request. They will try to accommodate even if rules say otherwise.

And I confirmed as long as your permit is valid, you can come and go from the park. Buy a 6 month permit  ~$3600 - and come and go from May to October. He might regret it but suggested they'd give you a t-shirt if you buy a 6 month permit.