I'd leave it wherever you park it and set up camp the first time. Legally on fs land you have a certain number of days you can camp in one spot, which is over a week but not exactly sure of max days, maybe 14 or 21.the risk of someone messing with it would be the only concern. If you didn't want that risk, pay someone to store it in their driveway or rent a spot at a campground.
Or is this a secret internet scouting trick to get someone to tell you where bear hunting might be good?
I'm kidding