Guess nobody caught the Rambo reference....
It really sounds like you need to get permission in advance from your neighbors or beg off trying to hunt there. I definitely recommend against ticking them off just for a hunting opportunity. Remember, you have to live next to those people. They could make your life difficult. If they are anti-hunting, and your deer drops on their property, even the LEO or Game Warden knocking to take care of the problem still won't bode well for friendly relations...