Jeff, I think you might want to show a bit more patience in waiting for a reply from the Royal Troon. In August many people (like yourself) are on holiday, and it may be that the Club Secretary-- the only person authorized to correspond with anyone on behalf of the Club-- is away until the end of the month. I can understand that there is a cultural difference between the social expectations of people from the United States and those who live in the United Kingdom, but generally speaking one would usually expect a letter to a club (as opposed to some sort of government body or commercial enterprise) to be answered with thirty days, not two or three days, and certainly answered by the post, not email. Enjoy the rest of your stay in Scotland and keep your head down on the swing.