I have something that works for me.
I used the particle emitter to emit upwards off screen, then duplicate it to fall back onto the screen as if it’s one continuous flow.
Now (hopefully) one last question: How do I make the particle emitter stop a certain point on the screen?
I have the paper falling into the computer, but it goes pass the screen and I’ve tried a couple things to cover it up (masking, bringing the picture forward to be on top of the emitter…) but nothing seems to work.