I would like to firstly say that you will not see any benefit by running the game at 200 Frames per second. Essentially that is faster then computer monitors can handle. Depending on your screen if it could be 60 hz which would be limited to 60 FPS being fluidly displayed before the monitor may start to cause tearing, then there is 120 hz which is 120 FPS, and 144hz which is 144 FPS.
GS GO is not a very graphically intense game I would say even something in the APU side of things would be enough to deal with things. The AMD FX 6300 and the AMD 7850K are very similiar in terms of performance.
http://cpuboss.com/cpus/AMD-FX-6300-vs-AMD-A10-7850K
However you get a pretty decent graphics chip on it. Here is a video displaying the results. I would go this route if you don't want to deal with having a graphics card installed but have the ability to in the future budget permitting.
https://www.youtube.com/watch?v=lFdQXAZcY_U
an example of a rig that you could go with.
Couple of notes about the build as well.
Memory: I went with higher clocked memory because they react better to Gaming performance on a APU build.
GPU: Going this route you get good performance without needing to spend the extra money on a card 150 for a normal cpu plus 150-200 GPU normally will place you in the 300-500 dollar range I've avoided that with my build. I didn't include the OS however if you would like to include that you can add 0 dollars with something like ubuntu or 100 dollars or so for windows 7 or 8.
PCPartPicker part list /
Price breakdown by merchant /
Benchmarks
CPU: AMD A10-7850K 3.7GHz Quad-Core Processor ($163.99 @ NCIX US)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.98 @ OutletPC)
Motherboard: Asus A78M-E Micro ATX FM2+ Motherboard ($64.99 @ Mac Mall)
Memory: Mushkin Blackline 8GB (2 x 4GB) DDR3-2400 Memory ($84.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($54.43 @ OutletPC)
Case: Corsair 300R ATX Mid Tower Case ($59.99 @ Newegg)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($49.99 @ NCIX US)
Total: $508.36
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-06-05 16:17 EDT-0400)