An example is one I saw just a few days ago. It was a well that provided water to a subdivision near Ketchum. The well is on Nat Forest land. In this case it's not posted but the water dept. has the right to post it if they think it's unsafe for the public to be close to the well.
Another example is summer homes on forest land. They have long term leases and I'm pretty sure they can post them if they want to.
I don't know about mining claims. They often have heavy equipment sitting around that they don't want the public messing with.
For FS or BLM land, the nearest district office would likely be the place to go to determine what's exclusive or not. For state land in ID, you'd need to go to the state land board.
The Hunt X maps don't show leases. They just show what's private or public. In general, leases are very small plots and aren't an issue for hunting.
