Singingbee, Serenity campsite at Hinderwell not far from Whitby was very pleasant when I went a few years ago. I can't remember the cost, but I don't go for expensive sites so it must have been reasonable. Quiet after 11pm, facilities were spotless and there's a good chippie and a pub within walking distance too. Not sure about dog-friendliness though; site reviews or website should clarify that.
http://www.ukcampsite.co.uk/sites/results3.asp?search=serenity&by=sitename
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A day of all things motorhome and campervan. The show is held both in the main indoor arena and across the grounds. Catering, hot drinks and food options are available. Easy access to the site and free parking included. Win one of five pairs of day tickets