I installed thin "basement" carpeting on the inside walls of the cases for my road drums. Easy to cut to fit, has a spongy backing and can be either spray glued to the inside or just put around the circumference and on the top and bottom if you like. For mine I used a foam pad cut to size on the top and bottom. Plenty of room with a 1" pad for top and bottom since there is enough overlap with the lid and sufficient strap length to handle it. If you have a Jo-Anne Fabrics, Michael's or A.C Moore craft stores near you they sell different thickness foam squares and rolls that you can cut to size. Works like a champ !
Michael