Edit: actually, just put a black filter over the sensitive parts while photocopying. That way you don't damage the original and you can send the photocopy over.
You also have to mess with the contrast levels or set it to "black and white" instead of grayscale. The default grayscale settings on photocopiers tend to leave the copies still somewhat legible (I probably wasn't using the "proper" sort of marker, one of those heavy duty aluminum-can permanent ones.)