What you need to do is to go and see an attorney and an estate planner as to this matter.  But generally, if you appoint a guardian of your child in a Will then the court will honor that request and appoint the party as the guardian which will allow them to travel outside the United States with the child.  You should also consider creating a trust with your assets to help provide for your child, including a life insurance policy to fund the trust.  But an estate planner will best be able to help you with all of this.  It is very smart of you to plan ahead with all of this and do something sooner rather than later.  Good luck.