[Wasta]

I ride in North Yorks quiet a lot, some of my favourite runs include the 'Helmsley TT' Thats the B1257, best done on a week day as on a weekend it gets busy and well policed.
A blast over the moors to Whitby is always fun, go from Thirsk via Sutton Bank and you can link into the Helmsley route. There is a bike friendly cafe in the old railway station in Whitby, always loads there on a sunny weekend.
Another nice run is down through Malton and onwards to Beverley, nice countryside and roads.
As stated the run through Hawes is fantastic and there are a couple of bike friendly cafes, although I ussually go to the Penny Garth, then on to Devils Bridge and upto Barnard Castle and Stanhope.

North Yorks can be heavily policed so a week day is always good.

Enjoy