The draws are all held on the same day across the state. 1st Saturday in August every year. That includes Dover Camden reel foot etc.
Reel foot is the premier public land in west TN. The clubs down there are extremely hard to get into and people have been hunting over there for generations.
Tigret out of Memphis is a pretty good.
Even if you don't draw a blind for the season you can blind hop. All of the regulations are posted on the twra site.
I've hunted all over southeast. Kentucky, Tennessee, Mississippi, Alabama, Georgia, Florida, Arkansas and I grew up hunting in the marsh and rice fields of south Louisiana from Texas to the atchafalaya. I have found nothing in this region of the country that compares to the flood timber of northern Louisiana and Arkansas.
Years ago Louisiana always had good numbers but with weather pattern changes and the amount of water that Missouri Illinois and Arkansas all now hold its not the same.
Outside of reelfoot and private land I've hunted...West Tn is no Arkansas but it's not bad either. I'll blind hop old hickory for fun once or twice a year but other than that I exclusively hunt in Arkansas and make a trip to my friends family land in Louisiana every year. Old hickory glory days are well in the rear view mirror.
If you don't know anyone that hunts out there, all you can do is get out there and blind hop. Maybe get at the launch and ask someone if you can tag along.
Get involved with the local DU and delta chapters in those locations.
good luck to you