I assume you mean 1440p?
There is little matching your description or even reasonably close. particularly when you consider that with a gtx 1080 you will want g-sync not free-sync.
It can be done in 24"https://www.amazon.com/AOC-AG241QG-Monitor-2560x1440-Height-Pivot/dp/B01N7QDNJ8/
Probably as close as you can get in 27":https://www.amazon.com/Dell-Gaming-S2716DG-LED-Lit-Monitor/dp/B0149QBOF0/
Yes, I mean 1440p, sorry!
And thank you! I will probably go with the 24" you suggested. Was having lots of trouble finding one.