this cpu just came out and can overclock to very close to i5 gaming framerates in bioshock infinite and similar games.
r9 280x as well.
PCPartPicker part list:
http://pcpartpicker.com/p/3BWqBm
Price breakdown by merchant: http://pcpartpicker.com/p/3BWqBm/by_merchant/
CPU: Intel Pentium G3258 3.2GHz Dual-Core Processor ($74.99 @ Newegg)
CPU Cooler: Cooler Master Hyper 212 Plus 76.8 CFM Sleeve Bearing CPU Cooler ($29.99 @ Newegg)
Motherboard: Asus H81M-PLUS Micro ATX LGA1150 Motherboard ($70.38 @ Mwave)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory ($72.00 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($54.99 @ Newegg)
Video Card: XFX Radeon R9 280X 3GB Double Dissipation Video Card ($249.99 @ Newegg)
Case: NZXT Gamma Classic (Black) ATX Mid Tower Case ($19.99 @ Newegg)
Power Supply: XFX TS 550W 80+ Bronze Certified ATX Power Supply ($25.99 @ Newegg)
Total: $590.32
Prices include shipping, taxes, and discounts when available
this will be a better solution