Maybe you could create a "Stolen Device" PreStage Enrollment. It could be helpful to set an alert or a DEP package with a tracker program.
@dniven
If these machines are in DEP you can create a second MDM server in Apple Business Manager, assign these devices to that MDM, and then create a PreStage in your Jamf server for the devices. Then create a Smart Group that looks for any devices enrolled via that PreStage. Be sure to turn on notifications for that Smart Group.
That is how we handle stolen DEP devices.
For non-DEP devices there's nothing you can do since they will never re-enroll in your Jamf automatically.
I have a Stolen computer config profile that locks it down as much as I can, and I exclude our stolen computer smart group from all policies and other config profiles. Computers are scoped in by serial number, so even if they wipe and re-enroll they'll go back in that group again.
@strayer this seems like a really good solution, thanks for the suggestion!