Re: bipod hop with bench shooting
Mount up a sling fore and aft. Adjust it so it remains slightly up off the bench when you push it down. Pass your non-trigger hand between the stock and sling, then reach back and support the rifle butt with that hand. When you set up for the shot, apply your weight downward against the sling with the elbow. Do it right and hop should be eliminated.
Lindy is right, but this post also addresses the original question. With some small accommodation, this technique will also work in prone position.