Try places like Winnats Pass, Mam Tor/Hollins cross etc, Water-cum-Jolly dale, Peter's stone (top end of ravensdale), Monsal Head, Theres also a hidden waterfall near Foolow.
For a bit further afield there's also Kinder (woolpacks), Alport castles, and all of the eastern edges which can be pretty nice at the moment with the heather flowering (derwent, stanage, burbage valley, higgar, froggatt, curbar, baslow). Obviously you'd have to be
shooting colour to make the most of the heather! If you drive west/south you could check out the Roaches, dovedale, manifold valley etc.
P.S. From Great Hucklow i wouldn't go out of your way to go to padley gorge specifically - unless its early or late (or crap weather) it'll be swamped with schoolkids and chavs having BBQs etc, at least at the top end of the valley.