The short version (ie without the loop to Bollington and the eastern Cheshire hills) of Cheshire Cycleway regional route 70 is already plotted on ViewRanger and can be viewed free on a computer and via the app on Android and iOS mobiles. You just have to register with an email address and password first. You can also export the GPX file.
There is also the full GPS route of Cheshire Cycleway on Mapometer’s website. Select ‘map’ view to see a number of other routes that link in with route 70 or could be used as variants, shortcuts or links to your own start or finish point.