Could be your HDMI cables?
I know many issues can pop up due to cables at high resolution that are not an issue at lower resolutions. I believe you need HDMI 2.0 spec ?
Or do you run something like display port ? I don't even know ?
It does sound like a cable issue or a driver issue if it's present across multiple players.
I'd avoid the AMD "beta" drivers and go for the full releases. Your not chasing frames in battlefield4, you are chasing stability.
You could try swapping out the GPU card too but that might be costly ...
"Too much is almost enough. Anything in life worth doing is worth overdoing. Moderation is for cowards."