Actually taking 2x desktops on TATL next week. FYI - replacement machines for UK office.
Just have both in card boxes with plenty of bubble wrap and then in my hard shell suitcase and make sure they are well secured and can't move around. Luckily I have free access to lots of shipping supplies.
IMHO I don't see much difference between a domestic move via FedEX/UPS and the TATL. Done this a few times with no issues so far.