I was going to suggest the Plough at Scalby, but having checked the map it's a little further t'north than your indicated area. Lovely place though and a nice pint of craft Yorkshire bitter.
theploughscalby.co.uk
The Plough
The Plough pub-style restaurant in Scalby just outside Scarborough. Our varied and eclectic menus are packed with local and regional produce that showcases the best of Yorkshire food.

