This park sounds like more of an outdoor nature museum, with plants and identifying signs.
Wildwood Park is right across the street from Lion’s Park and alongside a paved trail with lots of trees. The swings are in a large sand pit and there is usually public art along the trail. There is a separate, smaller toddler playset and lots of open green space. It can be easy to miss the turn into the park, it’s in a residential neighborhood, but GPS takes you right there.
This park is just north of Hickman, with several unique climbing options. On top of a beautiful playground, there are 3 free mini golf holes by a small walking trail.