Hi,
You would have some limit in your choice of options in China. Technically you are supposed to have a degree for Shanghai, Beijing, Guangzhou and Shenzhen. I'd decide where in China you want to go before making the leap.
Eastern Europe and Russia generally don't require a degree. Places like Indonesia do not require a degree. You still have options without a degree...
Teaching English Abroad: The Essential Job Resources is a pretty good resource to help you decide. A lot of the info comes from the book "Teaching English Abroad" which is now in its 8th edition.
I hope this helps.