Are you sure that Korean will accept that route? Looking at the T&C's of the contract from a while ago, my understanding was that to take the self sponsored 777 route, you had to have sustantial wide body, heavy jet time, which by definition also probably implies, long haul ops and the 737 obviously doesn't meet that criteria. That was my understanding anyways. I'd contact the agencies to clarify if I were you. If only it were that straightforward. If you want to fly for Korean then why not the 737?