You could…
Get the train to Hope, ride part of the Ladybower Classic route taking in Win Hill, Hope Cross, either route down to the A57, up to Lockerbrook farm, down through Nabb woods to Fairholmes, up Whinstone Lee Tor, down to L’bower Inn, Bamford, round the back to Stanage, Houndkirk, then down Clough Lane and into Eccy Park and into town/station (or you could do H’kirk onto Blacka, then adore and onto Abbeydale Rd and town)
That’s about 34 tough Peak miles.
Alternatively you could ride out of Sheff and make the most of Houndkirk and Blacka which would amount to a 20 mile loop on the edge of the city/national park.
Invest in the V Graphics Dark Peak route guide and an OS Map. You’ll be able to piece it all together from them.
Drop me a line if you need any advice.