Question on a recoil pad.

I am replacing the existing plastic butt plate on a Remington pump rifle 7600 .35rem with a limbsaver grind to fit. Done grind to fit before. My question is what to use to fill the screw holes to re-drill very close to the original hole? My experience with wood fillers is they do not harden and maintain for re-drill.

What options are there for wood fillers that are drillable?

Thanks