Once again, try out the options by borrowing or renting. Try to do something with DSLR and with camcorder. DSLRs are good way to get very film-like look, but might be too hard to operate in tight time budget. Focusing and audio will be issues.
But if you want do things the hard way (like in the real films), check out at least these:
Blackmagic Pocket Cinema Camera
Sony A7s (bit more expensive, but that sweet sweeeet low light performance...)
Canon EOS 5Dmk2 (oldie but might be cheap and some good stuff have been shot with it).