Go with an Intel system.
Here's some of the stuff I would change. Intel Core i5-3570K - System Build - PCPartPicker
Some stuff isn't on PCPartPicker:
Seasonic S12II 520W EPS12V 20/24PIN ATX Power Supply Active PFC 80+ Bronze 6+8PIN PCI-E W/ 120MM Fan Electronics&promoid=1292 - $64 for a great PSU
Amazon.com: Sapphire Radeon HD 7870 XT with Boost 2GB DDR5 HDMI / DVI-I / Dual Mini DP PCI-Express Graphics Card 11199-20-20G: Computers & Accessories - Performs better than the 660 Ti most of the time and it's cheaper.
Is there any reason why you need an H100i? A big air cooler will have almost identical cooling performance with less noise. NH-D14, Phanteks, Silver Arrow, etc.
There really isn't any reason to go with 16GB of RAM. You could go with a capture card for recording - Avermedia Live Gamer HD.