Honestly, drop the i7 and get an i5 and use the extra money to buy a GTX1080 instead. Going i7 over i5 for gaming is utterly pointless and I would only recommend it if you are going to do some heavy duty video editing, for example.
Here is what I came up with for a custom built via pcpartpicker:
PCPartPicker part list / Price breakdown by merchant
CPU: Intel Core i5-6600K 3.5GHz Quad-Core Processor ($229.99 @ B&H) CPU Cooler: Noctua NH-D15 82.5 CFM CPU Cooler ($88.49 @ Newegg) Motherboard: Gigabyte GA-Z170X-UD5 ATX LGA1151 Motherboard ($163.98 @ Newegg) Memory: Kingston FURY 16GB (2 x 8GB) DDR4-2666 Memory ($85.99 @ Newegg) Storage: Samsung 950 PRO 256GB M.2-2280 Solid State Drive ($186.99 @ SuperBiiz) Video Card: MSI GeForce GTX 1080 8GB GAMING X 8G Video Card ($724.98 @ Newegg) Case: Fractal Design Define S ATX Mid Tower Case ($69.99 @ Newegg) Power Supply: EVGA SuperNOVA P2 650W 80+ Platinum Certified Fully-Modular ATX Power Supply ($85.98 @ Newegg) Operating System: Microsoft Windows 10 Home OEM 64-bit ($83.89 @ OutletPC) Total: $1720.28 Prices include shipping, taxes, and discounts when available Generated by PCPartPicker 2016-07-21 06:52 EDT-0400
It's a bit over your original budget, but all the parts are high end and it should be a beautiful build.