If you live near micro center you can get an AMD A10-7850k CPU/Mobo bundled for $154.98 prior to tax.
PCPartPicker part list:
http://pcpartpicker.com/p/Qhk799
Price breakdown by merchant: http://pcpartpicker.com/p/Qhk799/by_merchant/
CPU: AMD A10-7850K 3.7GHz Quad-Core Processor ($155.00)
Motherboard: Gigabyte GA-F2A88XM-D3H Micro ATX FM2+ Motherboard ($0.00)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory ($59.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($52.24 @ Directron)
Case: NZXT Source 210 (White) ATX Mid Tower Case ($34.99 @ Directron)
Power Supply: Corsair Builder 500W 80+ Bronze Certified ATX Power Supply ($29.99 @ Newegg)
Operating System: Microsoft Windows 8.1 - 64-bit (OEM) (64-bit) ($92.99 @ Directron)
Total: $425.20
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-02-12 12:29 EST-0500
The A10-7850k should play it pretty well. I played Starcraft II with it on pretty good settings!
Try it out!
Update: You could even add a discrete graphics card later and it won't bottle neck really. Look up A10-7850k JayzTwoCents for a good idea of what this APU can do!