Depends what you like ! ! Byreside near Hamsterley isn't too far. Its a lovely friendly site on the derwent walk - facilities are clean but basic. details are here
------------- Gail
March - Bamburgh
Easter - Low Park Wood CC Kendal
May - Yellowcraigs CC North Berwick
June - Wharfedale CC Grassington
yes that one is very close to Beamish , its down a side road from shepherd and shepherdess pub about 1/4 mile from Beamish museum entrance , ( nice sunday lunch there !), It looks in a nice setting i havent seen the touring field but have visited a static there once , looks ok from memory and a lovely setting
Don't forget to leave a review of the campsites you have visited this year or last!
Byreside is fine, about 20 minutes drive to Beamish and a lot cheaper than Bobby Shafto I should think, it was £9.50 with ehu when we were there at Easter.