Cutting wooden plugs used to be frustrating. I like to keep the bit going, but each time I would cut a new plug the previous one would be pushed out of the cutter and fly across the shop, landing who knows where. Too many times, it was never to be seen again.
I solved the problem with a shallow cardboard box. I just set it on the table of my drill press and place scrap inside to act as a sacrificial backer board. Now when I cut plugs, they still fly out of the cutter but stay right in the box! As a bonus, all the chips stay in the box, too, for easy cleanup. -Fred Burne