You are still legally obligated to pay support in accordance with the last court order. Supervision isn't going to be an issue since he is an adult now.
However, IF the mother is in violation of a court order/agreement by not keeping you informed in accordance with that order/agreement, then you could file a contempt action. It would really depend on what type of custody you have for your son and what the terms are in the last stipulation or agreement. Also, if the mother's move to Florida is going to be permanent, you may want to consider filing a complaint for modification, based on the material change of circumstances - your son's new living arrangement.
If I were you, I would speak to an attorney in more detail to iron out what needs to be done. I'm sure there are plenty of attorneys in your area who provide free initial consultations. Best of luck.