The last time I stayed there I ran the path along the river from one end to the other.
This is from AllEarsNet
Port Orleans Riverside
A paved path is provided for either running or walking at this resort, as shown in the resort map. Covering 0.7 mile, this course follows the scenic, meandering Sassagoula River, forming a closed loop. An idyllic course, the scenery provides plenty to look at, as you wind along. The paths are wide and provide some shade along the way. They also provide a good view ahead of you, helping to prevent "unplanned introductions" to other guests.