My route takes me onto M6 at J19 also. From there north is pretty boring unless major detour in my (limited) experience. However, I'm going to take J35 off M6 and then A6 to A590 as this is marginally more interesting. I'm taking the A5074 to Bowness, rather than your route as I hope there will be less caravans / touriods in general.
Link to map