The CAA's own search tool will point you to all AME's in the UK. Some are EASA qualified. It's probably best to contact those nearest to you and ask if they are so approved.
CAA AME Search
If you're Bournemouth based then Heathrow Medical might be your easiest choice otherwise I can recommend Aviation Medics at East Midlands. They've been keeping me in the air for over thirty four years!
