Three studios local to Cambridge have recently closed. I think the only one left is Cre-8 - http://www.mark-fiddian.com/studio-hire/ but I've never used it since I now have my own space. In theory you'd be welcome to hire mine but in practice there's almost no free time in it.
I think there's a studio or two in Peterborough. PurplePort should help you find more.