Another spot very near Moorgates is where the Railway crosses the Lyke Wake Walk at the summit of the railway.
On the A169 just after you pass RAF Fylingdales radar station.
Down the hill and just as the road bends right to go over a bridge there is a parking area to the left. A short walk will take you to the top of a slope looking over the railway.
A bit more walking will take you to the foot crossing.
Just to confirm that the operating days are Sat 12th to Sun 20th only and also no service on Mon 14th and Friday 18th.
Updates from the NYMR Website
http://www.nymr.co.uk/