As a new player learning the maps while playing Evolve, I would run around with the map up often. This worked great for learning on the fly. However, playing as the medic, as I prefer to do, this takes away all health bars over peoples heads and makes the job of the medic much more difficult.
Even after I learned the map, I found I popped up the map often when reviewing where the monster is spotted, where he could be running and where I could head him off. So I found the map was something I used often even after I learned the map and did not need it for basic navigation.
The other downside of having the map up was you are not shown map pings on your screen(you see something on the map though) when someone spots the monster. You do still hear the pinging sound though.
My suggestion is to not remove the other HUD icons when you have your map up.