Chances of Top 20 MBA?

Hey guys, new to the community, and looking for some advice. I'm hoping to go to either McCombs or Rice for my MBA, but I haven't taken the GMAT yet. My profile is as follows:

  • BS Mechanical Engineering, large state school in TX
  • 3.7 GPA / magna cum laude
  • Hispanic (edit: half hispanic, look white but have the hispanic last name etc.)
  • 3 years Oil & Gas experience
  • EC: Mentor to underprivileged middle school student; head of one of the subcommittees at my current company; volunteer for various organizations in the Houston area
  • Career goals: Consulting or IB
  • Looking to matriculate in 2020 (will have 5.5 years WE)

Just trying to get some input from you guys - how are my odds of getting into these schools given the limited information I have so far (i.e. no GMAT yet)? Obviously, I will be shooting for 700+ on the GMAT, but there are no guarantees there.

Apologies in advance if I left out any critical information.

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