Here is a good place to start. I've been a member of AFOA for many years. I am located in Muscle Shoals, but work in NE Alabama frequently. Cherokee, DeKalb, Etowah, Jackson counties would be a great place generally. I see some really nice deer in north Jackson county every fall.
https://www.afoa.org/hunt.htmI don't know if they have updated the list lately, but normally there are several tracts posted.
Chris