Hello PallMall, thanks for your question.
I think your GMAT opens the doors to the programs (assuming both your verbal and quant scores are 80+%), so your competitiveness will come down to the quality of your leadership experience in and out of work. Can you draw upon “moments” when you truly led: influenced individuals and organizations, drove results, took initiative?
For other international programs, you might consider doing a joint degree with the Kennedy School or SAIS? Doing that would add another year, of course, so if you just wanted a 2-year program, you could just stick with programs highly ranked in international studies. Just throwing it out there.
Best of luck,
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