As a cheap camera for video I'd probably go with something like a canon 550d, 600d, etc... and maybe install magic lantern on it. I have a friend who's created some awesome work with just a 550d, 35mm and 50mm primes.
Probably not going to be all that great in low light, but meh..... With photographs its not as much of a problem, which is what most people on here would care about