Sony A6000
SONY a6000 Review and video sample - Best mirror less camera - YouTube
This is the best in low light for under $1000. Comparable camcorders are $1000-1200.
Lots of cameras a few years old that would probably do the trick, and be had fairly cheaply. Canon t2i - t5i, Panasonic GH2-GH3,
The Sony NEX-5 is a few years old and you can find these for around $250 with lenses and they shoot well in low light They're also very small. It's the predecessor of the A6000.
