It is not hard to make your own counterbores from silver steel rod. The advantage of this is that you get to choose the outside diameter and the pin size. I do it like this:
Turn the outside of the silver steel down to the size you need. Face the end and drill for a pin. With a triangular file, file teeth in the end, making sure that they are facing the correct way to cut. Also make sure that the cutting edge remains at the level of the faced end. The teeth do not need to be especially even so dividing by eye is good enough.
Then harden, eg heat up the business end to the colour of a boiled carrot and plunge into cold water. Then temper to a light straw colour. Make a pin up to fit the hole. You can make a pin with a shoulder if you want to use the counterbore on a larger pilot hole later so they are more versatile than commercial ones.
Since they are carbon steel, you don't want to try to use them at high speed, but for the kind of use they get for spot facing and counterboring they will last fine.
John