Your husband cannot absolve himself of his parental responsibility to support his family by just moving away, and you could get a judgement against him. However, I do not know what the likelihood of being able to enforce that judgment in Belize, as long as he does not return to the US.
Begin the divorce process before he leaves.
All money earned by either party during the marriage is considered “Marital Property” and thus he would have a claim to approximately half of your money earned during the marriage, although the Court would most likely use that amount to cover his share of his child support obligation.
Be sure when you acquire the new home to keep it in your name only, using only funds from the inheritance kept in an individual account, and not funds from money you earned during the marriage.
If you are living in the NYC metro area, call me at 212-370-1660 to arrange an appointment to discuss mediating your divorce.
Leonard Weiner, Esq./Divorce Solutions