You have to pay to park at Carding Mill but it's a lovely place for a stroll and building dams in the stream or a proper hike over the Mynd, and they have gorgeous homemade cakes in the cafe. New bike shop (inc MTB hire) in Church Stretton, Plush Hill Cycles.
Try http://www.virtual-shropshire.co.uk for events and places to visit in the county. What you like depends on what floats your boat – steam trains on the Severn Valley Railway, Rays Farm (not a typical farm attraction), Wenlock Edge, Ironbridge gorge and museums (my kids love Enginuity), Stiperstones NNR, Hereford cathedral or the castle, Abbey etc in Shrewsbury. There are a number of microbreweries in the county, if you like good beers check the food festival's Ale Trail.
If you fancy riding some of the many quiet lanes in the area the council have produced some routes, including ones around Ludlow, Craven Arms, Bishop's Castle and Stretton areas. Start here. NCR45 Mercian Way and NCR44 Six Castles linear routes are nearby. You can request printed copies via an online form or download the PDFs.