You are dang tootin you should hunt for him with a bow. Be patient and hunt only when the wind is in your favor. Keep a log of when and where you are sighting him and try to use that to your advantage also.

Remember, 320 acres is nothing to a whitetail buck when the rut comes. He will most likely roam great distances to find does in estrous, so the chances of him going on other land hunted by others is high, especially as the rut nears.