I don’t believe that is an option in the InternetMonitor module. You could ask the author to add that or you could fork the repo and trying coding that in yourself. :-)
I think there are a number of “ping” modules available. Maybe one of those will suit your needs. Check this page:
You are welcome. I guess you will need to find out on your own if the laptop fullfills your requirements. Power consumption is one aspect, another is loudness and heat due to fans in your laptop.
