it may not be the most obvious or well trodden tourist area but we live in the Derwent Valley in north county durham and it may be worth looking at based on your bike-centric needs:
1) lots of off road NCN cycle routes connecting to Newcastle, Tynemouth (beaches/nice coastal town), Durham, or up up onto the moors via the C2C route see here for Sustrans map mountain biking on hexhamshire common, chopwell, edmundbuyers/blanchland, hamsterley nearby etc
2) next to north pennines, also derwent valley is an area of high landscape value and a lot of our friends comment on how nice it is so can’t be bad…
3) 45mins drive to Tynemouth, 1h and a bit will get you up to the northumberland coast for empty beaches
4) Beamish oldy worldy outdoor museum near Stanley, Hexham and Corbridge good for fancy shops etc, Gibside @ Rowlands Gill, Alnwick castle/gardens, Durham cathedral and lots of castles up in northumberland may 1h or so drive
however the main towns are utter a-hole of places (Consett/Stanley etc) mainly due to being ex-mining areas, but there are plenty of nice villages/pubs and campsites in between! also it’s pretty hilly! :-)