You are giving turkeys too much credit for their intellect. Deer hunt it and don't worry about it. If it's good habitat, they'll be back. Turkeys are chased by every carnivore that lives in the woods so they're accustomed to being flushed out of spots very frequently. Being pushed by you on a few deer hunts each year won't make a difference.

"When there was no fowl, we ate crawdad, when there was no crawdad, we ate sand."

"YOU ATE SAND!" - Raising Arizona