There are several wilderness trails located in Ozark and surrounding counties in the Mark Twain National Forests.  Here are a list of the trails along with websites of information.
 
Caney Mountain Conservation Area
    www.watersheds.org/outdoors/caney.htm
    
Devil's Backbone Wilderness Area
    www.riveroflifefarm.com/hiking/Devils-Backbone-Wilderness.html 
    http://en.wikipedia.org/wiki/Devils_Backbone_Wilderness
 
Ridge Runner Trails
    www.motrails.com/ridgerun.html
www.fs.fed.us/r9/forests/marktwain/recreation/sites/ridge_runner
 
Piney Creek Wilderness
    www.motrails.com/pineycrk.html
    www.fs.fed.us/r9/forests/marktwain/recreation/sites/piney_creek

www.unearthedoutdoors.net/parks/79 

Here is a website marking all mountain biking trails near the Village and surrounding area. 

www.trails.com/stateactivity.asp?area=10098