If they're not very big, you could just fill them with some short bolts. Anothe possibility would be to use a metal plate or a piece of wood finished to match the drums.
The favored method for filling holes prior to recovering is to use maple doweling cut off flush and sanded smooth. You could also do this, and apply a small amount of paint to camouflage them further.
+1
To add a little opinion to the mix, I find that if you aren't going to patch the wrap or refinish, then carriage bolts look best (they're the kind with the shallow dome top and no slots). It just adds a little more chrome to the drum
