Sorry for the long response time to your question. I have a good friend who lives near Birmingham and I asked for his advice about public hunting near there. He suggested looking into Bankhead NF about 50 miles NW of B'ham or Talladega NF about 50 miles SE. Talladega also contains an area known as Hollins WMA. He also suggested that since you would be faced with familiarization, scouting and hunting on a short window of opportunity, to possibly look into one of the many lodges offering turkey hunting opportunities. They could help put you on quality birds quickly, but of course, for a price.
FC