We meet in a hotel right now, so I haven't had the... um... what's the right work here... privaledge of having that happen to me yet.
I would do the sheet thing, but I would approach your dad about being the 'good steward' of what God is allowing you to use. Explain to him that if things are hit incorrectly then drum heads can break, cymbals can get bent and break, and that it would be wrong of you, being a steward, to just sit back and let 'precision pieces of musical equipment' get 'vandalized' by those unable to properly be trained in their use yet.
End by telling him that "if I have been placed in a position of stewardship, by God, shouldn't I protect His property? I mean, we did put a roof on the church, right? To protect it from the rain... how can I do or be expected to do anything less?"
and then just listen to his response. If all this fails then take the foot petal and drumsticks and leave them in the church office, or a closet, after service. Make sure to go out of you way to tell you dad that they can be found there if they're ever needed.