Hopefully someone can come along and help you
I honestly have never had one in hand to even give you an estimate.
Do by chance have a food scale that you can weigh her on? And a box that she will fit in for dimensions? If so you can go to USPS.com and get an estimate of what it will cost you ship anywhere in the world.
They also have flat rate shipping boxes at the PO. It will just take you taking her to there to see what she fits in one of them to give you an idea on price. I think they have small, medium, and large set price boxes. I actually would not recommend them for domestic shipping but they may come in handy if it's International and it's a rather large package. But like I said I am not sure how big she is as I have never seen her in person.