Something to be aware of about full backups: if you're using ZCS 5 or lower, then by default the full backups will hardlink to files contained in earlier fulls. This makes the backups a lot faster and the marginal disk space utilization per-backup is kept down. As of ZCS 6, the default has been changed so that fulls are each zipped into a single file, without cross-backup hard links. You can change that back to the old behavior by tweaking the zimbra cron file directly. A forum search will turn up more background on this.
This thread summarizes and links the info I was able to gather about setting up a cold backup:
Setting up cold backup server
A key point is that you can greatly reduce the time it takes to recover, by pre-restoring the full as soon it's copied to your backup machine. Then you just restore the subsequent redologs contained in incrementals, /opt/zimbra/redolog/archive/ and /opt/zimbra/redolog/redo.log, and this can be done very quickly using zmplayredo instead of zmrestore. Again, look at the notes & links.