What an interesting dilemma. If you want to travel the world by teaching English, you might find that:
Fun, eh? Reminds me of job adverts I've seen in programming where they ask for more years of experience in a technology than the technology has existed.
By the way, the above links are from the TEFL (Teaching English as a Foreign Language) Tips blog. It's a good source of information if you think teaching English might be your ticket to another country.