Homer,
Slide a thin rod, like the long section of a coat hanger, in the hole to see if there is in fact, a hole, one deep enough anyway. If there is, measure the diameter of the rod and select a drill bit slightly smaller, chuck it up in a drill, rotate the bit by hand, DON'T ACTIVATE THE DRILL, to clear and material in the hole. Be slow and methodical. And look down the hole a lot. I would advise against a lubricant as they have a tendency to work too well, the visor will slowly flop down, and a different post on keeping it in place will result.
Jim