Rub rail repair ideas?

[erikbythesea]

I had to remove my rub rail to resecure it after a bad noreaster tore the bumpers off my boat and it banged it up against the dock. I have the rubber style rubrail with the rope insert. Once I removed the rope, there is a plastic strip inside, probably 1/8 inch thick by 3/4 inch wide that stops the screws from piercing the rubber. this strip was shattered and came out in a bunch of small pieces. I was wondering if anyone has any ideas of something similar to use to replace this.