Budle bay is pretty basic but ok as a base, we spent 2 nights there. We walked the back lanes and trails to bamburgh and spent the day in bamburgh (pub lunch, ice cream, walk around the exterior of the castle, beach time. We then walked back along the beach as the tide allowed but worth checking tide times.
The small hamlet of Ross has a footpath that leads to a great secluded beach although we dis it on a grey day, it may get busy when the suns out.