In reply to Sleepymrsp:
You may be able to get to the viewpoint above Caley Roadside - there's a spot with benches for picnicing just above the Rocking Stone. You'll be above the boulders though, unless you want to watch the topouts on the Rocking Stone 8-O
I'm not sure you'll get into the quarries up on the Chevin. To be honest, that one bridleway through the main crag by Sugarloaf may be the only half decent climbing place within walking/scootering distance.
Apologies for my ignorance, can you get the scooter on a bus? Is there a bus service to Brimham Rocks?