The situation you're describing is a real high pressure deal. I've hunted places like that. If there is food, bedding areas etc adjacent to that land that's where they'll go. They will get out of Dodge with all the pressure. Unless there is something to lure them back on a daily basis you're really screwed to a point. If there are oak heads, food plots, or other food they'll return nightly. In such cases, hunt the borders. Get as far away from everyone as you can. Find trails leading off the public land. They'll always be in nice nasty tight little places where the deer feel secure. Hunt there and let the masses push them to you. At last light in the same spots you may catch some coming back across the line. Depends on the property, how big, how much pressure and how much cover and food. Also, what's happening next door. Learn the property and all the trails and easy ways for people to go and then get as far away from them as you can.