Many of the public land sites are closed to NR at that time of year. Openings are portioned out in the summer via draw. Check IDNR for that info.
The Shawnee National Forest in far Southern Il has thousands of acres of land wide open tof NR hunters.
My buddy btbowhunter is also from Western PA. You can PM him and see if he has room on his lease at that time.
Good luck-