You don't have to shoot raw with it.Don't get me wrong, a BMCC makes DSLRs feel like toys but the amount of money and effort you need to throw at it is a lot more than you have in your budget. It is very much a low-end pro tool and pro tools start to cost real money.
So it depends what you want it for...
Not sure if it was mentioned or not,you can hack 5D 3 and shoot Raw.
You don't have to shoot raw with it.
Two of the big issues are batteries and ability to see in the daylight. IIRC, the batteries are not swappable, and you have to use externals. It doesn't take, e.g., the canon 5d2/5d3/7d batteries.
I always thought that 'hack' is a bit of a strong word, when in reality all you do is run Magic Lantern on your SD.
Also... HDR video anyone? Certainly! How much DR would sir like with that?
It has its limitations (not suitable for fast moving action due to the way it renders every other frame), but for typically high EV outdoor scenes etc, it's awesome.