John,
My son and I have had some success on those public birds in Bienville WMA. We killed a bird each the first two years we went. Thought I was pretty good. Went back the 3rd year and got an ol' fashion whipping. Saw gobblers and had two different birds strutting within 50 yds but never fired a shot. I plan to go back this spring and go back to that same swamp with your call. I have always tried the soft calling down there. Maybe I need to see if they can hear me over close to Jackson with your call.