If you are not afraid to use Linux on the command line, then I would suggest using rsync. You may need to install the rsync package if it is not already installed. As root on the destination NAS, you would use a command like this:
rsync -aH sourcenas:/mnt/Volume_1/source_directory /mnt/Volume_1/destination_directory
Where sourcenas is the hostname of the source NAS, and the paths are the appropriate source and destination paths. You can do a test run by adding the "--dry-run --verbose" options:
rsync -aH --dry-run --verbose sourcenas:/mnt/Volume_1/source_directory /mnt/Volume_1/destination_directory
Type "rsync --help" to get the built-in help.
Tom