NPIV and RDMs are different. I don't know anything about NPIV, but I would use an RDM for this. As I understand it, the RDM is two pieces: a file that gets stored with the VM on the VMFS filesystem, and then the LUN that gets attached directly to the VM. The file with the VM is very small -- just points the VM to the LUN. Since that LUN is not running VMFS, it can be whatever size you need (not limited by VMFS sizing restrictions). You should be able to take the current LUN, zone it to the host "as is", and then attach that LUN as an RDM.
Here's the basic process: Zone the existing 6.5 TB LUN to the host(s). Rescan. Go to the VM and add a new Disk, making sure to choose the RDM as the type of disk to add.
It has been a long time since I played w/ RDMs, but this is a case where it seems to solve your problem.
Another possible solution: Create 4 2-TB LUNs, and then use them as extents to add size to the VMFS, so you end up with an 8TB Datastore (4x2TB). Then you should be able to create a disk of the size you need and move the data over. Again, I haven't played with any disks this size, but that seems like it would work, too.