Well, the GTX1060 is a fairly good 1080p card, but you really don't want a 27" 1080p monitor, the pixel density gets low. 27" and up should be 1440p or 4k.
Now if you aren't playing games, then we can go after more professional features, but if you are gaming, I would say stick to 23.8-24.5" monitors at 1080p.
How much are you wanting to spend, and where are you located?