Hi, Cana,
Thank you!
I will ask my Sensei if there would be a Fujimoto group in UK. We are not the only Fujimoto in SF Bay Area on top of other Shamisen groups, e.g. Tsugaru, Nagauta. So, I suspect there must be some Shamisen/Minyo groups in U.K. I will also keep my eyes open for Skype lesson. My Sensei is just about to learn Internet, so it may take a while to be ready. 
Also, I see you are not too far from London? (1 - 1.5 hour drive?)
When you go there next time, I suggest going to a Japanese restaurant or super market, there may be a bulltein board.
I found my Sensei on the bulltein board at a Jp super market in SF.
Also those places usually have Japanese free paper with a lots of info including ad for lessons. I found this on-line, but I there would also be actual paper. In this ad, I see an ad for violin lesson, so some day there will be Shamisen ad??
Do you read/speak Japanese? If not, bring or make a Japanese friend and drag him/her to help you!
Also, I’m sure a big city like London have Japanese festivals? E.g. Cherry blossom season, New Year. Check out the program and see if there will be Shamisen performance, go see it, and talk to the people. Some of my Shamisen mates joined the group in this way…
OK, too much writing, but wanted to note that I really admire you for practicing Shamisen all by yourself!