I live in Covington and have been hunting in the Bogue Chitto NWR by canoe. I am just learning the area really. I did kill a big doe in there this season and passed on several deer.
It seems like there is a lot of deer in there, and not too many people hunt it considering how much land is there. It is pretty difficult to access, there are zero roads, little to no walk in access, boat access is difficult in low water, and you are pretty much going to have to camp deep in there to get any hunting done.
I know that some nice bucks came out of there during the week of gun season in Dec., and it was not overcrowded even then. There were a lot of pretty much untouched places.
I am from north La, and still hunt up there a lot, and the hunting in the BC is just as good as most public land up there, it's just ten times harder to access. Really have to be careful in there, because if anything happens to you its a long way out. I haven't hunted very hard this season, but I'd estimate that I paddle 25-30 miles minimum per trip and camp in a tent 1-2 nights per trip in there.
There are a lot of hogs in there too - seen them numerous times. Had a deer come right through my camp site, and lots of varmints generally visit at night.