How near? The Tunica Hills area north of you is supposed to be pretty nice and certainly worth checking into.
It's on my to-do list.
On the levee?
I would carry a pistol if your walking on the old side.
I ride there on the weekends and there have been a few times I was glad I had it on my person.
I dont know if that actually happens, However I have ridden into a nest of bad looking guys that were out there fishing (with NO poles) or so they said.. overall, its a nice place.. lots of work went into the trails..