RE: public land
I don't have a camera (yet). If I did leave it out, I would put it in an area that I would hunt, and try to conceal it as much as possible and leave it for only 1 night, maybe 2 if I felt brave. Even then I bet it would get stolen. That is probably part of the reason why I don't have a camera yet.
Stand, NO WAY IN HELL would I even think of leaving it out.