my 980ti just decided to poop itself. Now it is a posh paperweight. Also in the same situation as the OP and looking at my options. Holding out before doing a full system upgrade as the refresh isn't too far away.
I ran a 4790k with a RTX 2070 Super and the 4790K wasn't causing bottlenecks and it wasn't overclocked either. I was mostly playing on 4k though.