Any bike friendly B&B type accommodation that people have found good in the NW corner of the North York Moors south of Great Ayton perhaps as far east as Danby?
Just 2 of us going and I find a lot of small B$Bs only have double rooms. My companion is an old friend but you have to draw the line somewhere!

http://www.dalesbikecentre.co.uk/. ?

Ignore that, just looked at the map 🙄

Osmotherly? 2 friendly hotels there on the Cumberland Way?

My local is about 30 mins from great ayton and has loads of local trails

Wombwell Arms

There’s Also a few closer to Thirsk which is 20 mins from great ayton.