oceangrey

There's a Little Free Library app where you can search an area and find the locations of Little Free Libraries. When I cleared out a bunch of books, I searched my city and we drove around and put books in a bunch of the libraries we found, including ones that we stumbled across that weren't registered. I did a quick general search of the UK and I did see some. I don't know if they're close to you, but it's worth a try.