I'd go to the state school. I went to two very expensive schools, and came away having taught myself more than I learned at either school in their combined 2 years and $90K in debt. I'm now weighed down like a boat-anchor as I get my career started with my own business while I pay these damned loans.
To me, you need film school for:
1. Access to education-edition programs (because Maya is expensive)
2. Access to high end computers... because the editing labs hopefully have nice, 12 core xeons with GTX 1080s in the mail and most people can only afford 6 core i7's.
3. Instruction from people who know what they're doing.
4. Access to cameras and mics.
Any school can provide these things. At worst, the film school might not have the greatest professors and that's ok. You don't need to study under Steven Spielberg right now. You need someone to put on a powerpoint and say "this is a 35mm lens, this is a 60mm lens, and this... is the lens they use on spyplanes. Pick the right tool for the job." It doesn't matter if your professor can load up Avid and zip through editing an 8 film in the course of two classes, that's not what you need right now.
There's some concern about how the school's curriculum is setup, but in general, anything that gets you through film theory and shows you the tools is good enough. The only reason not to go to the state school is if they're not teaching current technology. If you walk into their edit labs and they have you editing on Sony VTR's... I'd run and not look back. As long as they teach you Avid or Premiere, you'll be fine. I'm not sure if you'd be as-ok if they taught you FCP-X, I don't think that's got the widespread use FCP 7 had.
Once you have the basics down, you can worry about learning the hard stuff. By the time you're worried about the hard stuff, you'll probably have a job, a subscription to digital tutors, and you can do what everyone does: experiment until it works... The exact same thing you'll do in school and the thing that'll teach you more than anything else.