Wild animals that you encourage to come upon and stay upon your land by water and habitate definitely belong to the State, not you.
This was one of the very first things we learned in Property Law in law school. Famous cases in England, from the 17th Century, discussing in incredible detail, the difference between the ownership rights in "ferus domesticae" (domesticated animals) and "ferus naturae" (wild animals). Wild animals belong to the State and the only thing you own is the underlying land, and the right to say who can and cannot come upon it to hunt. This was a very big deal in England, because of fox hunting and pheasant hunting.
As far as high fence operations, I was stunned to see that 30 minutes west of Myrtle Beach, SC, near Dillon, SC, there are several huge operations, fronting right on the highways, with signs up advertising hunting for trophy whitetails.
Whether your are allowed to put up such fences, etc., is strictly a matter of state and local law.
Personally, I would rather take a yearling forkhorn buck on my own in the deep woods than kill any fenced "trophy" whitetail.
Franky, the Texas "hunting" that I see on cable disgusts me.
Mannyrock