If your aim zero-downtime, I recommend reviewing this document, which, while focused on rolling updates, is also applicable to restarts:
https://druid.apache.org/docs/latest/operations/rolling-updates/
If your concern is only deep storage reload, you can shut down all historicals at once. With no historicals available, balancing won’t occur. Alternatively, you can restart them quickly one by one to minimize balancing.
I’m not sure if stopping coordinator will help.