MadBomber,
You want an overseas teaching position? They're very easy to get. The difficulty is getting the "right" position. When I went to Korea, my best buddy went to Japan and his brother went to the Philippines. We all left within a month or so of each other.
Me: I worked 18-20 hrs week/$25,000 (very good at the time)/reasonable accomodations/worked for a language institute/I shared an apt above a dog restaurant near the Olympic Village.
Friend: Worked more than 30 hours per week/$18,000 (not very good - even at that time)/EXCELLENT ACCOMODATIONS/worked for a language institute
Friend's Brother: Worked for a language institute. Once he arrived, he was told that when he recruited some students, he'd get paid.
There is an entire population of people who teach overseas, primarily in Asia, who move from country to country each year.
Out of the 3 of us that went, I think I had the best deal. I simply went to my alma mater, the University of California, career development office. They had a book filled with overseas positions. So, I suggest you try this approach.
As a second method of finding employment, there is a chain of ESL (English as a Second Language) schools. I just can't remember its name. Do a little searching on the Internet and I'm sure you can find the name. Contact them.
Finally, there are several English language schools around the world. I know of one in Athens, Greece, that I read about last year. Many of their instructors came from the U.S. Perhaps you can find a school like this.
As for your dog, don't even think about. If but for no other reason, most countries have very strict quarantine laws and your dog would have to stay in quarantine for 2 or 3 months. Also, you'll have to pass an HIV test and no felony convictions to obtain your work permits in most countries.
Let me know if you have any more questions.
Loren.
P.S. How high were you rated on Judgemenaked.com?