Thanks for the advice ! I'll probably swing for an e6300 wolfdale. It's an imperfect balance I know, but I accept that I can't balance it perfectly, but this should be alright for the money !
A wise choice. That CPU is reasonably matched with the 3850. The silver lining in a system that's a bit CPU heavy is that when performance starts to be lackluster, it's easier to reduce the GPU workload than it is to reduce the CPU workload.