As sometimes happens in life, I have figured out a better way. However, I will build and test this prototype circuit to find out why it's not working. I suspect I have a fundamental misunderstanding about the 4040. So by getting it working, I will learned something. Recently I bought an Alexa. Among the devices it supports are powered outlets. I can just tell Alexa to set a timer on the outlet. Turning the outlet on and off for the required amount of time. Problem solved. When I get the circuit working I will post the results. My parts bin grew a little bit with this experience, not a bad thing.