Mike if you take the time to learn your local WMA, and approach it with an open mind, you may be pleasantly surprised. It is a different game for sure but it doesn't sound like you're seeing much on your spot so what do you have to lose if you are that close?
That put-take pheasant hunting thing occurs only a few days a year and 50 deer hunters on a 4000+ acre property is way less hunter density than most people encounter on private land these days.
The property you speak of has been consistently harvesting over 100 deer a year for as long as I can remember, which isn't too bad if you ask me. Especially, when you factor in the deer reduction hunts taking place across the road and the numbers killed there. That area has a healthy deer herd.