3/8" sounds small. I always thought those plugs were a standard garboard drain plug size? That would be 1/2" pipe (NOT 1/2"... 1/2" "pipe"... "NPT"). Since your bracket is made of aluminum, though, don't use a regular garboard drain plug (which is bronze) - other than to check the size. Stick with plastic or aluminum. Otherwise, you risk causing corrosion to the bracket.