This isn't something I would necessarily recommend without extensive research.
There's a vast gulf of quality between Korean blades (like anywhere, of course, but particularly so with the Korean blades). Even if you cram to do a lot of research before your trip, you'll quickly realize that no one seems to have good advice on the subject.
The Koreans really never developed a strong sword tradition of their own (despite claims to the contrary), and either utilized Chinese gim-style blades, or borrowed (some say inspired) Japanese styles and methods. There are no bladed weapons particularly unique to Korea, unfortunately...again despite many claims to the contrary.
You can certainly find many Korean swordsmiths whose quality readily matches the best swordsmiths in the world--but I suspect you won't find anything that's genuinely Korean in design.
Use whatever discriminating eye you use when purchasing blades here in the States, and I think you'll be able to spot a bad deal early on.
That said, have a great trip--that sounds exciting!