My 65th post here I thought this would be partly relevant (64). While waiting for developments in hardware to come along (re: RasPi), I notice this on the web. Now it is more expensive but it is also ever so ever so tempting, as most of it is already done for you.
In two flavours, the first is a 8 bit replica from the early eighties the Commodore 64, this available running Linux, so possibly running the QL emulator software such as uQLx which would be cool in its own right (a bit pricy at $349 [£219] for the base machine)
but the website http://www.commodoreusa.net/CUSA_VicSlim.aspx also sports another keyboard called the Commodore VIC Slim, sorry did I say keyboard, I meant computer, recognise the design style? It's black, it's a computer, it's an all in one keyboard sized box that can run QDOS and SuperBASIC (emulated of course) hmmmnn a QL?.
A little dearer at $399 [£250] but cheaper than the original QL at £399 :)