Finding an airline who will transport hamsters now is very difficult, especially from UK. It is something I have looked into from Europe and even friends coming up to shows have been quoted crazy prices such as over one hundred and fifty pounds to fly from London to Edinburgh. You can turn up at the airport all ready to go and then it is still up to the pilot, if he says no you don't fly and they go in the cargor hold in specially designed metal lined wooden crates if they do get to fly. Your best idea would be to consider an American breeder or contact the large Hamster Clubs here in the UK direct.
The Hamster Society have an email contact form on their website and may be able to pass you onto someone who can help.