Don't bother with Doctor's Gate, you're better off with a loop taking in Cut Gate and either Jacob's Ladder or The Roych at the other, it saves the tedious drag up the Snake Pass and the equally tedious broken descent of Doctor's Gate which is atmospheric but sporadic.
The Vertebrate Graphics Dark Peak guidebook, 18 Bikes in Hope stock it, is very decent. Have a look at the Lord of the Loops route from there which is a variation on our epic local Stoopid Loop. There's also a big route taking in Roman Lakes, you can get a map from there I think, though it's a bit out of your way, might also be on line somewhere.
If you fancy some local company for half a day / an evening drop me a line, I'm Peak local and looking to get some gentle off-road miles in before Kielder 🙂