Below are a few options of nearby places to stay while you are in the area.
And of course, there is a wealth of choice on AirB&B.
No93 'oower Hoose (Easingwold) -
Lovely B&B within Easingwold
Hazelwood Farm B&B (Easingwold / Crayke)
Local farmhouse B&B
If you'd prefer the self catering option, 'The Orchard' in Alne (the nearest village to Lund Studios) is well worth a look:
The owners have kindly offered a discount for anyone booking directly with them (contact Pete on email@example.com mentioning the code Lund1511)
Hotels / Inns:
The George - Market Place Easingwold
(Note - if booking the George, there is a 10% discount if you book on-line)
The Durham Ox - Crayke
Picturesque village pub with rooms
Close to the Lund, large country estate now run as a 'venue', offers very reasonably priced B&B.
Burn Hall Hotel (Best Western)