Hello vkapila97, and thanks for your post.
The application process is truly holistic, and committees will look at your stats (GPA and GMAT/GRE), work experience, and extracurriculars.
Your GPA is about the average, so a strong GMAT will help compensate for that and also help you stand out from your overrepresented demographic. I suggest taking it up to 3-4 times. You have nothing to lose since schools will only look at your highest score. And even a slight increase can boost your profile. You may still want to illustrate to the schools that you have the academic ability to succeed in the classroom. You could showcase your quant ability in your resume, your recommenders could do the same in their recommendations, or you could even take a supplemental course such as stats or calculus, if you don’t reach your target score of 720. (Although a 740 would be much better.)
It is hard to gauge your work experience without knowing your accomplishments and impact you have made there. It is nice to see that you have taken the lead on recent projects, as well as having already been promoted twice. It will be important to show you have made an impact and demonstrated leadership there. Ideally this will be supported by strong recommendation letters as well. It will also be important to explain why you want your MBA, and to also illustrate the skills you already have which are transferable to consulting. Be sure your story makes sense, and is realistic and specific.
Regarding extracurriculars, make sure to really emphasize your leadership roles you have taken on. Working for many years with an NGO certainly sounds impressive; that is one aspect of your profile on which you can elaborate.
If you continue to strengthen your profile, you do have a chance at some top of these schools, but they are extremely competitive, and each school simply does not have the room to admit all the world's qualified applicants. For that reason, I suggest apply to several schools, including reach, target (which I feel would be top 15 schools), and safety. Hopefully they will see that you have a compelling story and are someone who will add value to the classroom and community.
Good luck!