MBA advice for FLDPs?

Hello - prospective monkey in corporate finance here:

My question is this: Do all post-graduate MBA FLDPs require 3-5 years of previous corporate finance experience to be accepted into the program? I see a lot of the major programs require this experience; however, I was wondering if anyone knew of good programs that accepted those without as much experience and the best ways to get into them.

A little background on me. I pursued my bachelor's degree at a state school (quite non-target) and majored in entrepreneurship and minored in finance. At the time, I had no idea what I wanted to do or what interested me. I stumbled into a large financial advising internship my junior year and completed the rest of my remaining three semesters in that internship in order to go full-time upon graduation. After six months, I determined that was a major mistake and I didn't even like the type of work I was doing anymore so I quit and looked for entry level finance jobs which were difficult to find due to my entrepreneurship major. I ended up bouncing around a little bit so I decided to try going back to school for an MBA focused on finance to try to find that kind of job. I landed in a customer service position that got me through until I started full-time at my current private university (also non-target) on a full ride.

I have excelled in the program so far. I am a graduate assistant. I have a 4.0 GPA. I am the president of the Graduate Business Student Association on campus. My team won our local CFA Research Competition and moved on to the national competition. I will graduating in December and my career interests are in corporate finance and corporate development (unfortunately, I think I missed the boat on this one unless I can move internally into this kind of position).

I'm looking at the MBA FLDPs as options but, first, I don't know how many of them actually recruit for Winter start dates and ,second, I realize that my background is very scattered and abnormal. From my research I have found a few programs that don't require as much experience as others; however what would be the best way to get into one of those programs? My school doesn't have a huge alumni network to draw from and I assume that the online application process will not be the kindest with my work experience background.

I apologize in advance for the length. Any advice is helpful.

Thanks for taking the time.