Excellent composite, low Q for Accounting PhD

I am in the same bucket as you - 96 verbal, 59 quant, 91 overall (710), 3.91 GPA, 9 years of prestigious accounting experience. Last year I applied to Virginia Tech, UNC, GWU, Duke and UMUC. I was offered admission in Virginia Tech. Phone interview with GWU, during which they pushed hard inquiring into my hard math background, which is insignificant. No other progress with GWU. UNC, Duke and UMUC - dead silence until April where I got an email to check my application status online....I received an invitation to apply from Harvard based on my overall score. I contacted them and they said they prefer 80th percentile on each section, but look at the whole application. I heard that Columbia simply throws away all applications where one of the sections is below 90th percentile. I believe another factor for success is the application pool in a particular year. E.g., if a lot of NW/Wharton MBAs with balanced 780s did not get the job of their dreams or got laid off this year and decided to go for a PhD in business instread, your chances will go down substantially.