Linux to Linux, 10 TB transfer?
yep, rsync
outside oddball, the async features DRBD came out with recently.
Never underestimate the bandwidth of a station wagon full of tapes. 10TB would be feasible with relatively cheap consumer grade NAS equipment if you can divide it into (say 2TB) chunks. If this is a one-off then a semi-manual process might be workable, and a 2TB NAS is only a few hundred dollars.
If you need an ongoing process then you could set up RSYNC after you've done the initial transfer.