Lots of nice bridleways in the area, which can be linked using the Pennine Bridleway, Transpennine Trail or Huddersfield Narrow Canal.
There used to be a route on the National Trail website called “Tintwistle: Moor Fun”, but it seems to have disappeared. Luckily I downloaded a pdf, so email me if you’d like a copy.
A local rider has recently been working with the council on a circular route: FB link and Strava route
There’s also the Northern Horse Route running parallel to the TPT, on the other side of the reservoirs.
These are all easy trails, and maybe not what you’re looking for, but they’ll be useful for exploring the area – and accessing the harder stuff (eg Alphin Pike).
Edit: This thread discusses some of the harder descents.