Hi cawaddell,
You do have a strong candidacy, although your GPA and GMAT score will be below the averages at the schools you are considering (the average GMAT score for HBS this year was 730).
This being said, a military background is often very well regarded by admissions committees because of the opportunities for leadership and other skills (thinking on your feet, teamwork, operating under stress).
If you read the article below, it includes information about schools that are most friendly to military applicants (Tuck, Duke Fuqua, etc.)
https://www.stacyblackman.com/2011/05/30 ... ss-school/Given your GPA and GMAT score, you should spend time on your essays and recommendations to really make your application stand out from the other competitive applicants.
Hope this was of help.
Cheers,
Conrad and the
Stacy Blackman Team