This is a citation from the DV-2011 Instructions:
"You must have either a high school education or its equivalent...
A "high school education or equivalent" is defined as successful completion of a twelve-year course of elementary and secondary education in the United States or successful completion in another country of a formal course of elementary and secondary education comparable to a high school education in the United States. Only formal courses of study meet this requirement; correspondence programs or equivalency certificates (such as the G.E.D.) are not acceptable"
From this above, I think that they are specifically stating the 12-year course of elementary and secondary education as the only equivalent to a high school education. If that's the case than it doesn't matter if your aggregated education surpasses the 12-year course. The only ones that can give you a definite answer to your dilemma are those from the KCC so consider e-mailing them or perhaps giving them a call would be better.
What about the work experience option, have you checked if you qualify through that?