If I were in your shoes, I'd try contacting owners of large parcels and ask for permission to hunt in exchange for money, work or some sort of bartering. There are lots of them in Cullman County, but it may not be easy getting that permission if others hunt there.

Here's a link to give it a try if you like ...

Cullman County gis map ...

https://isv.kcsgis.com/al.cullman_revenue/