MasterBox 5 is fine too. http://www.newegg.com/Product/Product.aspx?Item=9SIA1UH4SE4507
It is ~$40 under budget. Definitely has good airflow. Skip on the white option, doesn't have mesh in the front.
The cheapest GTX 970s I see on Newegg are in the 200-250 dollar price range. The absolute cheapest one is this: http://www.newegg.com/Product/Product.aspx?Item=N82E16814127966&cm_re=GTX_970-_-14-127-966-_-Product
For that price, I'd rather go with a GTX 1060.
I am looking for a $200 graphics card, so I am considering the GTX 1060 3GB or the RX 480 4GB. I play games at 1080p. I am leaning toward the 1060, since the AMD drivers are not as good. Which one should I get?