Backup Private Locations

Specific scenario that I'm curious about. If I have a monitor running on a private location, and that location for some reason goes down so that I'm unable to run any monitors on it. Is it possible to set another private location as a backup so that if the monitor's primary location goes down, the monitor can still run and alert on the backup? I know there is an option to have monitors run on multiple locations either at the same time or through a rotation, however, I would only want the monitor to run on the backup location if the primary location is unavailable.