While I cannot tell you whether you would find turkeys in that exact area this spring, I can tell you that the Shawnee National Forest would be a great place to sustain wild turkeys. The forest has lots of food to sustain them such as nuts, berries, and bugs. I have thought of hiking that place myself. You are definitely in the right area for turkey hunting. You have also found the right place (this forum) to learn how to turkey hunt. Read up and go experience it for yourself. Good luck.