I don't think there's a different way than with a darning foot and lowering/covering (whichever your machine does) the feed dogs. It "bounces" because of the bar going over the needle screw. It tamps the fabric every time the needle goes down, but allows to move the quilt freely in all directions.
It's a fun technique. It's actually how I got my daughter comfortable with a sewing machine. Fabric with scrap batting between and said, "Do this." She had a ball.