Looking for 4k emulation solution

I know this is OT but couldn’t find an appropriate group.

We run a performance test machine in our datacenter. On it we run our game unattended and record performance numbers. The problem is we cannot find a solution to allow our 1080 cards to run headless at 4k/60Hz. There are some HDMI dongles and other hardware emulators, but none do 4k @ 60Hz in our experience.

I have to believe this is a solved problem. We are toying with putting a 24" 4k monitor in our rack! Which seems absurd. What if we had dozens of these machines? The space wastage would be immense.

Surely people doing “graphics in the cloud” have solved this?

Any ideas, comments appreciated.