Puerto Rico bad idea for medium to long term. Even Santander bank operate an offshore non-retail bank there with billions running through it to for loan operations in Europe...hummmmm ;-)
In terms of other non AEOI countries you have the following to choose from:
Armenia, Benin, Botswana, Burkina Faso, Cambodia, Cameroon, Chad, Côte d’Ivoire, Djibouti, Dominican Republic, Ecuador, Egypt, El Salvador, Former Yugoslav Republic of Macedonia, Gabon, Georgia, Guatemala,︀ Guyana, Haiti, Jamaica, Kazakhstan, Kenya, Lesotho, Liberia, Madagascar, Mauritania, Moldova, Morocco, Niger, Papua New Guinea,︁ Paraguay, Peru, Philippines, Rwanda, Senegal, Tanzania, Thailand, Togo, Tunisia, Uganda, Ukraine
But the list will︂ get smaller in future.