It's not on the doorstep but I know folks (who are on here) who have used Camping & Caravan club 'Club site' (so posh showers) at Hayfield. Great and predictable timing for the drive over the Snake Pass to Sheffield and brings you in the right side of town (from memory).
The Crowden site (C&CC) is possible, perhaps a touch closer but traffic less predictable (and possibly horrendous).
There smaller sites closer, in the Hope Valley, but I've no experience of them.