Jim, you are right, sharjah is cheaper but it's like living in india or Pakistan or the equivalent of deira. Ras Al khaimah is more like first world , have a look at al hamra village, its 40-45% Europeans and the rest, more balanced. Rents are cheaper, you have a marina, it's fully︀ gated, villas, townhouses and apartments, beach access too with water sports, rents are almost 40%︁ less than dubai in my opinion.
I saw some British schools︇ in rak, apparently there is a huge expat community of British and other Europeans