No offence to Cannock but even the quietest parts of the White Peak are better than driving over an hour to an overcrowded bankholiday weekend Cannock and there is plenty of great stuff closer to Dovedale than Cannock
Ambergate is 45 mins from Dovedale and the riding round there is cheeky but excellent – Black Rocks, Crich, Shining Cliff etc
You may need a local to tell you where to go
Ladybower is an hour, but probably a fair bit longer if you have to get through Bakewell of a bank holiday weekend (so just do the Bakewell loop instead)
Macclesfield Forest is about 45mins away (will go along quiet minor roads on the whole so not likely to be too much traffic delays en-route)and generally doesn’t seem to get the same amount of bank holiday visitors as other areas of the Peak
5 Dales loop is a nice ride, and plenty of other stuff in that area if you google or Strava heatmap it
The vids above are probably the best of what is ‘legally’ around