Wonder if this is a national thing? The blurb on the Visit North East England website says:
Accommodation within the Cyclists Welcome scheme gives cyclists the confidence that when you book, your needs will be well catered for. A separate and secure facility should be provided with a heat source for drying outdoor clothes. A bike rack and a lockable undercover area for overnight storage should be on hand, along with that all important puncture repair kit and washing facilities.
Perhaps…. this is a link to the CTC website that enables you to search for “Cyclists Welcome” places.