Likely nothing "cheap" between Thanksgiving and Christmas, that's "peak-peak season" in NYC, the whole "Christmas in New York" thing. But do check for sure.
Notwithstanding today's announcements and assuming nothing has changed regarding the lounge at the JW in the year since I've been there, that is where I would stay. If you have to blow 40K a night anyway, I would blow 45K and eat breakfast and dinner at their awesome & generous lounge, especially with a family. But that's me. And do shop around!