Hybrid College/Gaming Laptop?

I'm looking to buy a laptop for college but also would like to play a good majority of the newer games coming out. (Archeage, Middle-earth: Shadow of Mordor, etc.)
A few laptops i have been looking at are the:
Lenovo Y50, Lenovo Y510p, MSI GE60, etc.

My budget is around $800 - $1000.
Things I'm trying to focus on are: Battery Life, Overheating, no bigger than 16 in. Screen, good graphics card (gtx or sli) and a minimum of 8gb ram. Weight doesn't seem like too much of a problem, neither does the display because i'll be gaming mostly off an HDMI screen. (though a good display would be preferable)

*I do not want to have a laptop and a gaming desktop on the side, I just want a good laptop.

MacBook air