Yo yo DyerMaker
Try a dampened Magic Eraser or equivalent - you should find that it will do the trick with ease.
. . . Or if you're really having trouble & it's ONLY the screen you want to clean, get yourself a Brillo pad and lightly dampen it, give your screen a quick scrub & in next to no time it will be clean & shiny once more.
Just make sure to give your screen a good ISO wipe afterwards to remove any residue left by the Magic Eraser or Brillo pad.
Using the above method I have only ever used one screen in my PAX since 2012.
Now that's some economical shit right there