No reason not to hunt both. As mentioned in the OP, the genetics are clearly different. Bankhead deer are in rut, some years even chasing does, during the Thanksgiving gun hunt. By mid December, the best (easier) hunting on Bankhead is done, and Freedom Hills isn't even warmed up!

I've hunted family land within a few miles of Freedom Hills since the late 1980s, plus I commute the Natchez Trace every day. Trust me, late December and on is the best time to be at Freedom Hills.