Hi Jason.
I'm no shipping pro, so I would definately defer to their advice on this, but I can say that I received many rooted figs throughout the summer, ranging from quart to 2 gallon size from Bass (PA) and Ed (NY) and they all arrived here in Georgia just fine.
But I would suggest a very important part of keeping the plants healthy is on the end of the receiver. The fig plant is going to fine on the shippers end, and probably fine through transit, but if it sets in a metal mailbox or even in full sun on a hot concrete drive, sidewalk, or front step all day it will be toasted on a 90 plus day.
So it's important that the receiver know it's coming and be ready to open the box right away, get it in the shade, and water it.
Hope you are well my friend.
John
North Georgia Piedmont
Zone 7b