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There aren’t many hotels in and around Clitheroe. The nearest Premier Inn’s are Blackburn north-west, A59 (15-miles) and Burnley (15-miles). http://www.premierinn.com
The nearest Travelodges are Burnley, jcn 10, M65 (15-miles); Blackburn, jcn 4, M65 (14-miles), Preston (16-miles) and Skipton (18-miles). http://www.travelodge.co.uk
The nearest Mercure hotels are Foxfields Country Hotel,Billington (9-miles) and The Dunkenhalgh Hotel near Clayton-le-Moors (11-miles). http://www.accorhotels.com
The nearest Holiday Inn’s are Burnley, jcn 10, M65 (10-miles) and Preston (16-miles). http://www.ichotels.com
The nearest IBIS is located at junction 1, M55, Preston north (19-miles). http://www.accorhotels.com
There's also some random Travellodge or something by a motorway junction nearby if I remember right.
Though Travellodges seem to have gone up since I last booked one, they're not 30 quid any more.