East Midlands sim is Ryanair yes, I don't know how you can book this but I do know it is very busy. This is the only one in the country as far as I know apart from this one in Yorkshire which isn't a certified 737-200 sim by the looks of it....
http://www.yorkshireflightcentre.co....-simulator.php
There isn't a 737 sim in Bournemouth, but there is a 727 at EAAC which is used for sim check prep course by a third party company, sorry I can't remember their name but I think they advertise in the back of Flight.