This range is located off of HWY 17 west of West Plains, about 14 miles. The range is probably the nicest free public shooting range I have ever been to. My wife and I go there a couple of times a month, though rarely on weekends. Info for White Ranch can be had by calling the MDC @ 417-256-7161.
Correction, Hwy 17 runs north/south and the range at the White Ranch State Forest is south, not west of West Plains. I do agree that it's probably one of the nicest ranges one could hope to find with three concrete shooting benches at the 50yd handgun range and three concrete shooting benches at the 100yd rifle range. There are no berms separating the two ranges so courtesy and interaction with one's fellow shooters is required to maintain safety.
It is an unmanned range so there are no silly restrictions to deal with such as rate of fire, silhouette targets, etc. -- just use good sense, be safe, and clean up any trash when you're finished.