Why would American immigration issues have anything to do with the OPs plans? Why would you not bring a ten year old to the DR? I agree that there are cheaper, warmer and far more friendly places to live in the USA than NYC. http://lavegachristianschool.com/index.php
If the other person moves to the DR , and then decides to move back to the DR, and is a Dominican citizen, immigration COULD be a problem, I have watched the USA embassy in Santo Domingo, in the last 3 weeks turn down visa apps that nobody has seen before...From one Bob to another, I do believe that smaller town USA is a better place to raise a child, than the DR......Just my advise....Doc....