There was an incredible array of suggestions. I didn’t know where to begin. So, I tried a method that I had stumbled upon shortly after writing the post. The method was written by Julia Child and included in her cookbook, “The Way to Cook”.
Fill a large bowl with ice water. When the 15 minutes have passed, gently transfer the eggs to the bowl of ice water. Allow the eggs to chill for two minutes. Remove the eggs to a clean kitchen towel.