If you're looking for a quiet weekend getaway, just want a little peace and quiet and some R&R, try renting a cabin in the woods. :-)
There is a campground called Bogue Chitto Water Park, between Tylertown, MS and McComb, MS, just off US 98. You can rent a cabin (if one is available) very reasonably. The campground itself is heavily wooded, beautiful, and mostly shaded during the day. There are trails winding through the woods that are fit for walking and bicycling. The campground is also adjacent to the Bogue Chitto River. There are a couple facilities that rent inner tubes and kayaks, and shuttle service to carry river tubers upriver.
The BCWP is only about 2 1/2 to 3 hours north of N.O.
Also in the nearby vicinity is another campground called "Hidden Springs Resort". It is a few miles west of BCWP, and is a little more difficult to find. They also have a limited number of cabins available. Beware, tho, the word "resort" is used very loosely here. It is basically just another heavily wooded campground adjacent to the river. They do however, have two functional swimming pools.
If you decide to do either one, or any wooded area for that matter, be sure to bring your skeeter repellent!
I have stayed at both campgrounds, and enjoyed both. My fam really enjoyed the hiking/biking trails at BCWP. We used the river for swimming there. Hidden Springs is nice due to the pools, but I personally prefer BCWP.