with that budget, i would go for the cheaper g4560, the cheapest r5 is twice as expensive
any gpu you would like to get?
the 600 budget includes monitor or we are talking about the pc only?
i would get this
https://pcpartpicker.com/list/q6qrCy
you can change psu and gpu, remove the ssd also but i wouldn't remove the ssd
if you go for a r5, taking that list and replacing ram, mainboard and usign faster ram
https://pcpartpicker.com/list/gNxxm8
the budget doesn't work anymore
another place you could save is the gpu, the 1060 is great but is also expensive, so a 1050ti could be a good option depending on your needs