In case you decide to ship it,

I just recently packaged a Dry Ice Package for UPS. They have to be able to take the dry ice out and weigh it. You have to fill a small sheet of paper for what you are sending. Sometimes they won't let you go Air (next day, 2 day, or 3 day), but depending on which place you go to, you can.

The ice has to be inside the cooler. And then the cooler has to be put in a separate box. Then the box will have holes cut inside to release CO2.

I'm guessing since the dry ice can go air in UPS and FedEx, it should be allowed on a plane. Maybe call up the airport and ask about their restrictions on that.