I'd get a good sized piece of fairly thin leather and a tube of Barge Cement, which is a contact, rubber cement. You can cut various sized pieces, and use various numbers of layers for both the rest and the plate. The Barge cement enables you to peel them off and try another combination.
The strike plate not only protects the bow but, with multiple layers of thin leather, enables you to tune the arrow left-right just as the plunger does on an Oympic recurve. - lbg