I am addicted to La Carte....there, I've said it!
But seriously, I turn the paper over, take a piece of masking tape that I secure to the side edge (face down) 1/2 of the width of the tape to the back of the paper. That leaves 1/2 the width hanging over the edge. I repeat to the opposite edge. I flip the paper right side up and lay on my drawing board. The pieces of tape on either edge are now sticky side up. I take another piece of masking tape, sticky side down and secure the taped sides to the drawing board. This way, no tape is actually touching the sanded side of your La Carte. I also take scrap paper to make a ledge to catch falling dust. I'm going to attach photos to better explain what I'm trying to say. This is a trick Dianna Ponting taught us in her workshop. Is this confusing? Or does this help? By the way, I never said I was neat when I work.