Mike, I did not think about trying a tapping drill in the hole as Jason suggests, you could try a drill in one of the holes you did not put a screw in, tapping drill for 5/32 x 40 tpi is 1/8", and for 3/16" x 40 tpi it is 5/52". I would not imagine it would be any bigger from what you have told us so far. I can make you a screw to test if it is an ME thread once the New Years festivities are over.
Chris Gunn