Rugeley is right on the doorstep of the Chase, easily bikeable to it. Brereton Wheelers road club seem fairly active.
Only problem is Rugeley is a bit of a dump…though at least it's not Cannock! Not sure about schools now. Speaking as an alumnus, Hagley Park High School used to be a bit of a school of hard knocks – though latest head teacher seems to have sorted it out a bit.
No idea on primary schools.