I live out towards Stocksbridge so this would be my road route through Green Moor and Carlecotes
http://ridewithgps.com/routes/1158731/
you could carry on into Stocksbridge and include Pea Royd Hill for a tick in 100 hill climbs!
the A6102 out from Hillsborough to Deepcar isn’t really the best bit narrow but then so is A61 out to A629 (which generally is widish and not too busy for an A road)
alternative to A6102 is as if going to carpark at top of Wharncliffe?Greno Woods
ie turn off A61 and go through Grenoside and take the unclassified road on beyond the carpark (called Woodhead road) towards Wortley – cross the Stocksbridge bypass and continue on A629 or turn left down Finkle Street to pick up route in link at Well lane
or off road from Hillsborough: just after Herries rd roundabout turn left into industrial estate (Niagra) and follow road to end pick up obvious wide trail by river to Oughtibridge (not officially yet a cycleroute but is supposed to be) at Oughtibridge turn right up hill (take care on the bridge sign up at http://www.OughtibridgeWAC.org.uk to support improvement campaign) to pick up TPT into Wharncliffe Woods – TPT to Dunford Bridge and various quiet options into Holmfirth