Yeah, I was referring to role reveal, as well as the equipment notifications.  We all unbound the scoreboard key, and there's a strict no-talking-after-dead rule. 
The body language has never been much of an issue, it sometimes give away that someone has died, but doesn't really break the game.  My instincts now tell me to just tape something over the top-right of the screen, because I have very limited knowledge of coding and the monitors' positions are fairly fixed.
Thanks for the help, though.

Is there anyway to disable the popups in the upper right hand corner?

Through a combination of fast-weapon switch, disabling crosshairs, using our IDs to cover up the health/status bar, and setting the start-of-round popup that tells you your team to appear for only a second, we've managed to eliminate any method of screen-peeking except for those top-right popups which clearly show who's a traitor when someone dies.  So, if those were disabled, we'd have a perfect LAN setup going, anyone figure how we could do that?