Of the Korean/East Asian/Asian Studies majors listed above in College Navigator, these are the southeastern public colleges that offer a major in one of them:
As of 2011, North Carolina no longer participates in the Academic Common Market.
All of Florida’s, Kentucky’s, and Virginia’s public universities that offer a related major participate.
Of the Georgia ones, all participate, but UGA only participates starting at the junior level (i.e. your first two years would be at out-of-state rates or you would need to transfer in as a junior).
On the ACM page it offers contact info for each of those universities’ ACM person.
This is Oklahoma’s webpage about participating in the ACM as well as the contact person to get a program approved that is not already listed: OKcollegestart - SREB Academic Common Market
U. of Louisville used to do a full ride for National Merit Scholars, but now it appears to be $28k, which pretty much covers tuition. It says that admissions-based scholarships can’t be stacked (and the NMF is an admissions-based one), but the Grawemeyer Scholarship is considered a Mentored Scholarship and can be stacked with the other awards. The Grawemeyer is very competitive, but I think you would have a shot at it.
Another swing-for-the-fences opportunity would be trying to become a Morehead-Cain or Robertson Scholar at UNC-Chapel Hill, which would also get you a full ride.