This is basically how Time Machine works. Don't forget that the poster is using Final Cut, which means that he is using Mac hardware. Even though there is a Drobo in the backend, depending on how that is connected into the environment, a Time Machine backup will do exactly what you've laid out here. For online replication over distance, just use rsync over ssh, making sure that you preserve all the hard links. Mac OS X already has done the heavy lifting working out what needs to be saved, so you can just copy the backup volume.
Recovery off that volume couldn't be easier too. Just rebuild a server at the remote location and connect up the Time Machine remote backup and you then can just copy data off, knowing that you got the latest version of your environment at about roughly two hours before it got hosed. In fact, worst case would have to take into consideration the lag between the new data being written and copied over to the Time Machine volume (Time Machine runs every hour and I'm assuming about an hour for moving large new video files over to the backup volume), plus whatever the time taken is to copy the data across your pipe. I would make a SWAG at you being okay up to about two to three hours out of sync, although you really need to test the hell out of this setup to guarantee recovery.
Finally, you may want to consider archival copies of your data and purge from your main online repository. Once something has been broadcast, "freeze" it and dump it too a near or offline archive. For something that will be more user friendly, although more complex to setup, you should have something like everything broadcast for the past seven days "online", the past month on "near line" and the rest goes onto tape archived somewhere. Of course, depending on the volume of data, type of requests for older information, frequency of requests, etc you should change these values as appropriate.
This sounds like a fun project!