As Monksie says, without a GPX or being mapped it’s a bit uselss, but another option could be –
Out of Buxton and over the old coach road to Derbyshire Brigde
Up to Cat & Fiddle
Across Danebower Hollow
Cumberland Clough
Round Macc Forest and up to Teggs Nose
Bit of road to Rainow
BW to White Nancy
Drop into Bollington and road again to West Gate in Lyme Park
Through Lyme Park to East Gate
Drop down Grenshall Lane into Disley
Past the paper mill to Strines
Through the Roman Lakes to Marple
From there I’ve no idea, sorry.
There are routes from The Cat & Fiddle that are cheeky across the slabs to Pym Chair, then along Taxal Edge which will drop you into Whaley, from there you can go along the canal to Disley and then pick up the paper mill, Strines etc..