Try the link below. You should be able to find the closest club to you. How close that will be I don't know! http://www.welshbadminton.net/Find-a-Club.aspx
Hey theres a purpose built badminton center in deganwy wich is just by conwy. theres several clubs that play there on different nights. But i play for a club called stella maris and there club nights are on Wednesdays and Sundays. If your interested email me on nanteos@hotmail.com
Have a look at http://www.geocities.com/greatormebc/gobcindex.html This is one of the main clubs in the area & the website hold all the contact details.