Thagdal
Explorer
This!
I definitely prefer not using a screen at all. I like to see (the expression on) the faces of my players - that's more important than staring at tables.
My maps have a tendency towards being just a network of nodes and edges, my (handwritten) notes are entirely unreadable (sometimes even for myself!), I let the dice fall as they may, and monster stat blocks are either common knowledge or (if custom-created) virtually unreadable.
One of my players enjoys peering at my stuff, but at the most he manages to note the current number of hit points of a foe. Since I also paraphrase the enemies' current health regularly, that's not terribly secret either.
So, really, stop hiding behind that screen! You don't need it.
Stop hiding behind a screen, you don't need it as your note are unreadable? It sounds like you still want stuff hidden from players.