Taum Sauk Mountain State Park
Description:
Taum Sauk Mountain is the highest point in Missouri - located in the St. Francois Mountains 120 miles southwest of St. Louis. The actual highpoint itself is not particulary scenic, as it is a nice clearing in the woods, but you can continue hiking to the Ozark Trail and to a wet-weather waterfall (Mina Sauk Falls) down the same path.
Near the high point, but not actually by it, there is an observation tower that you can walk up almost to the top. The platform is locked, but you can still certainly see quite a bit.
The state park offers very primitive camping, and not much else - there are water fountains by the camping area.
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