Just south of Dringhouses would seem an excellent place to me. If TPE services were to stop there it would cut the hassle of commuting to Leeds etc. If some XC and EC services were to stop there it might also relieve pressure on the central area of York. And the site is quite convenient for York racecourse
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Well sorry and all that but by that kind of argument we probably wouldn't have the Tyne and Wear metro and so on.

It could also be argued that having that long double track line with only three stations and one train an hour is being over indulgent to the people of Scarborough when they could make do with an adequate express bus service to York instead.
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IIRC though there are plans to build a lot of houses in the Haxby area which would probably lead to greater demand for both road and rail services anyway.