It wouldn't matter. Virtually every country in the world is a signatory to Hague and UN treaties against child-stealing. Wherever this woman goes (irrespective if that country does or does not have a formal extradition treaty with the US), with very few exceptions, she would be arrested, and even if she wouldn't be extradited back to the US, the child would be returned to the US.
These treaties were the foundation for the argument that eventually prevailed to return the US child in Brazil back to his New Jersey father.
There’s a surprising amount of contempt for law and order on FR....
The Vatican....................
If those states sign the “Uniform Child Abduction Prevention Act” (UCAPA) then they can already take the child.
Actually you are mistaken, comparably there are less countries who are a party with the United States in the Hague Convention than there are who are. Further, you assume that people in those other countries would actively be looking for her anyway.
These treaties were the foundation for the argument that eventually prevailed to return the US child in Brazil back to his New Jersey father.
It took more than 5 years.