I install a small "ply doubler" for the screws.
Of course that will be easy if it is not covered yet. If it is covered, you might try it without the doubler, but I would be sure to harden the ply at the screw holes with thin CA. (be sure it is dry before installing screws.) I used the CA and all my planes have doublers there. I think the your choice is a wise one not using the wheel on the rudder. Just my opinion....lownslo...