Future, another thing to consider is the absolute gift you have right now from a legal standpoint.
You give your W her last support check now. She is gone for two weeks. Go retain your attny and create a separation agreement to be served to her upon her return.
In the eyes of the court you are being MORE than fair as you are not "cutting her off" you are simply requesting a formal agreement with enforceable parameters put in place for the protection of your assets and your children. If she is smart (your W that is) she won't balk at the agreement and realize if she does her transgressions will then become part of the case and she will jeopardize *any* support (remember, she brings in an income, chose to leave, committed a crime and in NY adultery is a crime and ya'll have 50/50 custody). In fact, you will look GREAT as you are still offering support and really, if she agrees to the Agreement you set forth, there will be no gap in her "support". If you do this right it could be "win-win" for you.
Don't give her time because if you do I can almost promise you she will retain an attny and file a motion for immediate support and that is when you lose control as those who strike first, well, they have the upper hand in this mess of a system. Don't give her the chance to look like the victim.