Then put the keys to datacenter-wide root somewhere safe (with a manual-ish process to access and use them), but out of the way and with alarms on it (the same alarms that you'd use in the absolute worst situation possible). Make sure anyone using it will be shamed if they don't absolutely have to.
If you think keys in a safe is a good idea, ask a Googler about the legend of the Valentine safe. Short version: nobody was able to get into the safe and a locksmith had to come drill it to restore a critical service.
It's also a cautionary tale about testing your DR occasionally.