I think that he should study the habits of white tail deer.
If they are pressured, they will move, they will seek (like humans) food, shelter and water.
"cutting them off", would be an effort in futility.
He can alter his plans on his property, but I don't feel that he has any right to ask you to alter yours.
You should inform your renter to exactly where the boundries are, and give him specific written permission, aside from the rental agreement, to hunting access on your property.
I feel sorry for your neighbor, however you are putting up with the same thing from him in reverse.