For this money it will be better to get used pc. But if you want it all new:
https://pcpartpicker.com/list/TPB9m8 If you can find some A10-7870k for under $105, it will be better than 7860k, because it has higher clocks on IGP and CPU, and better prepackaged cooler. You can get from this build with A10-7860K around 30 FPS on GTA 5, with A10-7870k around 36 FPS.