Possibly a block with two or three pointed pins/needles set at about 1mm. You press down the block, onto the blank and manouvre around the router plate. This will keep your fingers away from the cutter.
I had a little go at this solution but was not successful, the pins were too thick. Something like sewing pins would probably work better. Keep the block short, you only need to be deep enough to keep your fingers comfortably clear, this will give you more control.
By the time you have sealed, sanded and undercoated, the holes will not be visible.
Depending on how well the blank slides on the router plate, a dusting of talc or fine sawdust will help. I made a polycarbonate plate cover for my router. This was tighter on the cutter and gave more stability for the smaller stuff.
If you try this route or find another solution, don't forget to feedback both positive and negative.
Dave