Hello Rogue7, thanks for your question.
I agree: your GMAT is currently the biggest challenge in your business school candidacy. If you can raise that score, you could apply to more programs like Booth. Generally, you should be fine at programs that have a mean or median GMAT score close to yours. And, if your GMAT score falls within the middle 80% range at a school, you have a shot.
You have an impressive background. Frankly, many people want to attend business school to obtain the type of job that you already have! So, one question that raises: why do you really need business school? I advise you to paint a picture that cohesively ties together your past, present, and future. Demonstrate to the admissions committees that your desired career path truly necessitates an MBA.
I don’t believe you mentioned extracurricular activities, but I’m sure you know that the more leadership you can convey through these, the better!
I hope this helps..
Best of luck,
Brian