They have containers that can keep it cold for 10 days. Can use Fedex/UPS
Correct, but it's not like you can ship it anywhere and be effective. It can only be opened twice a day, not more than one minute at a time - meaning you have to have enough daily demand to be able to plan exactly how many to use per day. And it carries up to 5 trays of 1000 each. So if you're vaccinating less than 1000 in 10 days, some would go to waste. This is all from the Wendover video on the topic.
ETA: The reference to other shipping/storage methods was because they're supposedly developing a smaller version of the container.