I own land in Utah that is the exact scenario you are talking about. My driveway is a dirt road that goes through my private property. On the upper end it goes into BLM land. I have a lock on the gate, because most people around hunting season believe they own access from that road. However there are 2 other access roads to the BLM land on either side of my property. I have talked to the sheriffs department, the city, and BLM about access and have been told by all that I don't have to grant access because it is not a public road. I wouldn't mind allowing access if people would be decent enough to notice the no hunting or trespassing signs in the first place and come to my house to ask for permission before they try to drive up to the locked gate 200 yards past my signs. Before I owned the property I always thought it would be nice to hunt on other peoples property or go through it to get to my area, but I never did without asking first, even if there wasn't a sign. Sometimes around hunting season I wonder if its worth having the property when I am out with my children playing in the yard and I hear bullets fly over our heads.