The SAN application will have to break or split the mirror. We run VSFW (Veritas Storage Foundation for Windows HA). VSFW can start and snap off the mirror to the same system very easy. But if we split the mirror to a different system, we can never join it back to the same disk group since we also run VVR (Veritas Volume Replicator).
VSFW can use the same snap after you are finished to snap the data again to reduce snap time. It is called a snap back. When you start a snap with VSFW it take the system offline for about 10 sec according to Veritas, but I would say a minute is more on the safe side. It is also best to do this off time, so that it does not impact users.
NBU 6 can offhost the backup so that the primary system is not being taxed by the backup. If you can split the mirror off to another system that would be best. But in our environment we can not do that unless we start a whole new snap again and delete the previous.