You could post your request to some of the games groups in or around Cambridge? You can always sign up for some of them at the same time....
Mailing list: email@example.com (older, slightly more established readership - theoretically this would be the catch-all destination but I suspect other post-doc types are more likely on the group pages)https://www.facebook.com/GradPadGames
(first Saturday of each month, 10am-8pm, bias toward Eurogames)https://www.facebook.com/heffersgifts
(roughly fortnightly Saturdays 7pm-2am, bias toward immersive games)https://www.meetup.com/The-20s-Hot-Spot/
(not specifically a games group but have a weekly games pub night on Thursdays)https://www.facebook.com/groups/trumpington.games/
(monthly group, currently last Thursday of the month but revisiting that)
In case you haven't come across it, there's also a local accommodation classified page: http://www.brettward.co.uk/canb/
Cambridge and the surrounding landscape are very flat so many people commute by cycle - it may be that if you're willing to take to a bike you don't need to worry about public transport.
I used to work on the same site as Biochemistry until a couple of years ago so if you want some local knowledge feel free to PM me any questions.