Your metrics are good. The GPA is great and your GMAT is within range. Clearly you are strong academically. However, most business schools are going to be looking for significant full-time work. From your post it looks as though you haven't actually worked full-time at all. That will make your acceptance very unlikely unless you target schools with programs designed especially for recent graduates. SMU has a recent graduate program as does LBS (MiM).

In general, schools have very good reasons for wanting solid business experience. First, they want to accept people who have the ability to succeed in business. While strong GPA and GMAT scores tell them you can succeed academically, they tell them nothing about your ability to work with and lead people. Extracurricular successes are simply not the same as actual work achievements. Second, the case method relies on the experiences and talent of the students to drive classroom learning. Students without work experience do not have expertise to contribute and therefore simply do not carry their share of the burden. Third, you will benefit far more from an MBA once you have real work experience to compare to classroom discussions. So, the school, the other students and you are not well served by your entering an MBA program without having earned hard business skills on the job.

One alternative is a deferred admit. Some schools will accept a student tentatively with matriculation conditional on getting two years' solid work experience before starting classes.

Good luck,