Big Creek is Archery and Muzzleloading methods only so the pressure shouldn't be near as high as Hidden Hollow. Personally, I would stay away from public land that is hunted with firearms. Even if you are hunting earlier in the year you will be running into people that are scouting for the firearms season.
Based on my records the following conservation lands in Northeast Missouri are Archery Only: Dodd Access, Ella Ewing Lake, LaBelle Lake, McPike Access, Mound View Access, J. Thad Ray Memorial, Sears Community Lake, Shanks, Sunrise Access, Tolona Access, and Upper Mississippi - Bay Island.
The following are Archery and Muzzleloading only: Dupont Reservation, Frost Island, Griffiths Memorial, Indian Hills, Morris Prairie, and Redman.
I hope you have a great hunt when you come down here to Missouri.