Hi from Seoul!
I'm not a mum yet, but I live in Korea and I know that here in Seoul there are a lot of expat families- mostly US military or military contractor families and those kids generally go to school on base. There are some other foreigners here as well and most of them send their kids to international schools but you might be able to find a few that homeschool.
Try asking around on this web forum:http://www.expat-advisory.com/forums...orea-vf93.html
This forum isn't the most active, but if you post your question about homeschooling, you'll get an answer eventually. Or maybe someone can point you in another direction. Good luck!