I tape my backing down, I don't lift the tape to put paper down, the paper moves and I can't keep my back taut. Lay the paper around the edge of your backing, it's just there to catch any overspray so it doesn't need to be anchored down. If you happen to get any spray on your floor/carpet, 505 spray is water soluable, just wipe it up with a wet cloth.
I use painters tape as well, it holds and comes up easy when I have the quilt sandwiched. I have quilts that I have been working on over the period of months, they are still securely sandwiched as when I first did them. When I finish a quilt, I toss it in the wash to remove the spray. :)