Considering the fact that you'll go into an interview process at pretty much all top programs, it will certainly hurt you if you can't create a compelling story of why that school will benefit you. From my understanding and personal research, these programs want to minimize risk and choose applicants they feel will have the highest chance of succeeding post-grad. With that being said (in their eyes at least), they're looking for someone who knows exactly why their program will help the applicant excel. In addition, why the applicant would be a good bet for the program to take.
I'm in a very similar position as you. Currently, I'm working with people to create the best and most feasible story. It seems like the best applications have a sensible goal that is challenging yet feasible whether or not the applicant truly intended to follow route. Hope this answer helps.
Don't let a low GPA destroy your dreams of a business education.