Installing ArcGIS Server on a laptop isn't standard practice; I'll even go so far as to say it's not recommended practice. AGS is meant to be more of an enterprise-level application where clients access content hosted from the server. Putting your laptop to sleep at night when AGS is installed doesn't seem like a configuration that would support anyone's business needs. That being said, the services should have a parameter to check called "Periodically check and repair data connections for idle instances". Try checking this option and setting the interval to something like 1 or 2 minutes. I doubt it will make any difference, but it might be worth trying.