Do I have a shot at a top 5 MBA?

I'll keep this short.

I am a White, 24 year old male with a middle class background.

I have just finished up a 2 year stint in IB at a middle market bank (think William Blair, Houlihan Lokey, Piper Jaffray, SunTrust Robinson) working in a tech coverage group that focuses on M&A. I actually have some good experience, including a couple of $100-$200M sell sides in which I was on a 4-5 person deal team and sole or lead analyst, as well as a few other interesting deals.

I went to a semi-target (think Michigan, Boston College, NYU) for undergraduate, where I had a little over a 3.5 GPA with a Finance major.

I am now going to work at a very strong VC / PE firm that makes investments in Technology. My title will be associate. I think that I can likely stay here for 2-4 years.

I do not have a gmat score yet but a pretest gave me a range of 700-750 and I did very well on the SAT (2250+), so I think I can probably score closer to 750 than 700.

I do not think an MBA would be worth it unless I got into either Harvard, Stanford, Wharton, or perhaps Booth. Does anyone think someone with my background would have a good shot getting into one of those schools or should I not waste my time?