Hello sarveshmehta, thanks for your question.
First, your 710 would not move the needle as much as it would otherwise, given that you come from an overrepresented demographic in the MBA applicant pool. Did you clear 80% on both the verbal and quant sides?
You’ve got strong experience that a lot of applicants would like to acquire post-MBA, so the question that you will have to answer for admissions committees is why do you want to go to business school? In terms of your post-MBA goals, paint a picture that cohesively ties together your past, present, and future. Demonstrate to the admissions committees that your desired career path necessitates an MBA. Identify the specific gaps that stand between you and your short- and long-term goals (knowledge, skills, experiences, network, etc.) and show how business school would directly address those gaps.
I think your competitiveness will come down to how well you can demonstrate your leadership ability and aptitude through your stories both in and out of work. You will be competing against a hugely talented applicant peer pool with impeccable GPAs and 750+ GMAT scores. Your experience will be what differentiates you. Some of the higher ranked schools you list could be reaches, but could be worth taking a shot at – depending on your risk tolerance, of course.
UK schools do tend to accept more experienced candidates. Check each school’s website about its requirements for this
Best of luck,
Brian