This script allows you to turn Hud on and off during the game. E+ ALT Enable E+ ALT Turn off You will never forget these combinations, because when you start a new game, the key combination will be displayed at the top of the screen. Plus fashion is that you can make good screenshots. There is a similar mod, you say, but in order to remove Hud, you need to minimize the game.
P.S The script is taken from the GTA III HD mod and I don’t know who exactly the author is.