To be honest, your chances are going to be slim. You have the foundations for a very promising career, but you have no full-time work experience. Even the 2+2 program is predicated on giving college juniors deferred admission - meaning that they matriculate *after* having gotten 2 years of full-time work experience after college.
Also, to be blunt, you will have a much harder time getting a job post-MBA. The reason is, as a young 20-something college grad, you may value educational credentials as the most important thing -- and value it way more than recruiters will. For most recruiters, it's just one line item on a resume that should have a body of work (i.e. full-time professional experience). Even if you get into the almighty Harvard, a lot of recruiters would more likely hire more experienced classmates (or MBAs from other schools with more experience) for MBA level positions. You will still more likely get placed in positions that aren't much different than what most college grads will get.
I know it may be hard for you to appreciate the value of full-time experience - because you don't know what you haven't really experienced yet (and summer internships don't really count because the mindset is totally different from actually working full-time - and the expectations in the office with your colleagues are also different; as an intern, people will treat you as a kid even if they won't ever say it to your face; as a full-time employee, the expectations are much higher).
Again, get some full-time experience. You have a promising future and an impressive college experience to date -- but you will be in way over your head in an MBA classroom at this point.
Also, no matter how mature you may feel you are, you are going to be in a classroom with people who have had a few years of experience, and who will be at a different stage in their lives. They will have a different set of priorities and perspectives that comes with their own personal experiences and growth/maturation that comes with having to be a working professional in the real world on a full-time basis. Those first few years are formative in many people's growth as a young adult. As a result, you will feel a bit out of place -- maybe even socially at times -- and even if you don't notice it, your classmates will overtly or subtly treat you with kid gloves - they won't see you as a true equal.
No amount of raw potential can compensate for perspective that comes from real world experience.
You may be ready in a few years, but not now.