As I said, the timetable is a rough estimate.
I based the timetable upon Arriva service 42 between Arnison and Durham; GNE service 204 between Durham and Dragonville minus two minutes as my suggestion wouldn't serve Claypath; Arriva service 64 between Dragonville and Sherburn Grey Horse; Arriva service 22 between Sherburn Hospital and Wheatley Hill with two/three minutes added for the detour into Sherburn Village via Mill Lane; 5 minutes allocated between Wheatley Hill and Castle Eden A19 Interchange; and finally service X9 between Peterlee A19 Slip Road and Middlesbrough with a couple of minutes deducted as my suggested service joins the A19 at Castle Eden not Peterlee.
Might take a little more time, may take a little less.
RE: Go North East Service Suggestions