Remotely? Oh Joy!!
No way that I know of to backup a media server from another media server, so you would have to uninstall v10 to verify that your new server can backup the old.
If your new drive is indeed not compatible with your old one, you wouldn't need to worry about migrating the catalog files as long as the old drive is not connected to the new server
I guess that you could shut down all the BackupExec services on the old server and copy the entire install tree to a safe place, then upgrade to v11, use BEUTIL to copy the configuration to the new server, remove v11, re-install v10 and then copy the entire install tree back, but that would take at least as long, and has (IMHO) more chance of something going wrong than the procedure I outlined.
You could also just upgrade the old system to v11 and let it sit around, doing nothing, waiting to restore data from your old tapes