Hi There Kizza,
Im from Tewkesbury (down sarf lol) and got my first basenji last year. They are the most fantastic breed, i just adore my girl.
As you probably know, most of them only come into season once a year so the majority of pups are born and in new homes by now. There may be a couple of litters in the spring though. It is definately worth going along to some shows (crufts would be the best idea!) to have a chat to some breeders as most of the people who breed basenjis do show them as well. Have a look at the dogs, see what type you like, and then chat to the breeders about going on their waiting list
The basenji clubs are a good place to start as they may know of any pups that are currently available (i dont know if there are at the moment tbh..) but definately come along to some shows and meet everyone!