One simple general pattern for making sure things are alive
One perpetual problem in system monitoring is detecting when something goes away. Detecting the presence of something is often easy because it reports itself, but detecting absence is usually harder. For example, it generally doesn't work well to have some software system email you when it completes its once a day task, because the odds are only so-so that you'll actually notice on the day when the expected email isn't there in your mailbox.
One general pattern for dealing with this is what I'll call a staleness timer. In a staleness timer you have a timer that effectively slowly counts down; when the timer reaches 0, you get an alert. When systems report in that they're alive, this report resets their timer to its full value. You can implement this as a direct timer, or you can write a check that is 'if system last reported in more than X time ago, raise an alert' (and have this check run every so often).
(More generally, if you have an overall metrics system you can presumably write an alert for 'last metric from source <X> is more than <Y> old'.)
In a way this general pattern works because you've flipped the problem around. Instead of the default state being silence and exceptional things having to happen to generate an alert, the default state is an alert and exceptional things have to happen to temporarily suppress the alert.
There are all sorts of ways of making programs and systems report in, depending on what you have available and what you want to check. Traditional low rent approaches are touching files and sending email to special dedicated email aliases (which may write incoming email to a file, or simply run a program on incoming email that touches a relevant file). These can have the drawback that they depend on multiple different systems all working, but they often have the advantage that you have them working already (and sometimes it's a feature to verify all of the systems at once).
(If you have a real monitoring system, it hopefully already provides a full selection of ways to submit 'I am still alive' notifications to it. There probably is a very simple system that just does this based on netcat-level TCP messages or the like, too; it seems like the kind of thing sysadmins write every so often. Or perhaps we are just unusual in never having put together a modern, flexible, and readily customizable monitoring system.)
All of this is a reasonably obvious and well known thing around the general community, but for my own reasons I want to write it down explicitly.