Sorry for the delayed reply. Raising your score from a 730 to a 750 would not have a measurable effect on your chances. Your profile is a good one and has some distinctive elements, but I just don't see a strong enough leadership track record for HBS. I wonder if you could start some successful entrepreneurial venture on the side while you complete your Teach for America gig? The other schools you list are all good programs given your social impact goals, but here again I think you may be overreaching with Columbia, Tuck and perhaps Kellogg. Other strong social impact programs you might consider are Haas (though also a longshot), Cornell, UNC, and NYU. You are aiming high so I recommend spending the next year and half ramping up your profile in terms of impact and leadership.
Hope this helps.
Co-Author of: MBA Admission for Smarties: The No-Nonsense Guide to Acceptance at Top Business Schools
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