The interesting thing about working in film production is that Producers do not really care WHERE you went to school, just what you can do, have done and who you know. In fact, the prerequisites to joining professional guilds and unions (IATSE or the Directors Guild of America) ask only for a listing of production credits and not whether you have a diploma or not.
Film school gives you a foundation into production but it WILL NOT guarantee you work as a Director or Producer when you graduate. I know talented, award-winning, ivy-league educated filmmakers who are waiting tables now as they try to find funding for their films. If you have 50grand to spend on school then buy a camera package (or make a movie).
When I started out in the film industry the greatest fun I had was working on short films, music videos, PSA's and independent features, I had joined the local film society and started out as a locations asst, grip and Art PA but soon found i was asked to do more challenging roles. Trust me, you can learn far more (working as a clapper/loader) for an experienced Director of Photography in one month than in 4 years at film school.
Working on large features became more like joining the military (like real work). I began to have less fun as it became all about the money and securing that next gig. I would suggest you focus on some kind of discipline, such as working in the camera, sound or art dept.
You need to join either IATSE or the DGA/DGC to get work on union films. You need credits to get into these guilds. I suggest you begin by signing up for a "Set etiquette' course (how to work around stars) and courses in flagging and directing traffic. (inquire at your local guild office). Once you get That 'day permitee' gig you can work your way up from there..
I am a professional Producer who has NEVER hired a NYU or USC grad as a PA. They refuse to pick up a broom or serve coffee.