Bring your own food and have a picnic. It is a cheap alternative to a restaurant and the scenery is better.
I took a hike down the trail here at Shepard State Park. The trail wanders through groves of trees and by the wetlands. It was a relatively short, easy hike. Watch out for the mosquitoes though, you may want some insect repelant.
As you walk through the park you get nice views of the plants and animals indigenous to wetlands in this part of the Mississippi Delta.