I think that this itinerary pushes the limit , but here are some thoughts ; First , are you considering a car ? This would make things easier in many respects , but comes with issues relative to driving in the UK . Don't get me wrong , I'm a big fan of driving in the UK , but it's not for everyone . I would also reject the idea of coming off a long flight ( 10 hours , say ) and then getting behind the wheel to drive about four hours to the Peak District . To have any chance of doing this , I would completely reverse the order - fly open jaw into Heathrow and home from Manchester . From Heathrow to Newbury for overnight and see Highclere the next day . From there on to Bath ( by rail - 2 hours ) To the Cotswolds by car , the area ( 2 hours ) works , without a car , Moreton in Marsh is the only rail stop in the area , no rail in Broadway . A car is a virtual necessity in the Cotswolds , but from Moreton you can access Chipping Campden and Stow on the Wold , for example , using local buses . By rail from Moreton , figure 5 hours to Matlock on the edge of the Peak , and then cab or bus to Bakewell or Baslow , the towns nearest the Chatsworth estate . Buses connect these towns to the entrance to Chatsworth . Also , you will need a FULL day at Chatsworth , just to begin to do it justice . Go to National Rail to work out Matlock to Manchester and fly back . This saves you a lot of useless backtracking , you will be going in a direct line . Hope this helps , and watch this video on Chatsworth to get a good feel for this magnificent place . http://youtu.be/rNP6zTv28kM
