PP, here's something I came across whilst I was doing further research. Look at the specifications for BF1:
Battlefield 1 system requirements announced | PC Gamer
Recommended CPU: i7 4790. I can grab a Xeon processor for like $380 atm, which gives me the performance of an i7 4770. I'm seriously considering this, as that hyperthreading won't just help BF1's CPU bottleneck at 1080p, it'll also help whenever I do some rendering in Premiere Pro.
But I'll have to wait until my 1070 arrives in the mail before I can make any decisions.