Leashed pets are allowed in the park but they are not allowed in any buildings, or public swimming areas and beaches. Hike a trail back into history. Big Sugar Creek State Park is a rugged landscape of rare shrubs and trees not often seen anymore in Missouri. Visitors can find solitude in hiking through shady upland woodlands and sunny grassy glades while passing near numerous rock ledges. Notable plants such as the Ozark Chinquapin tree and low prickly pear cactus can be found along with animals such as armadillos and birds such as scarlet tanagers.