Here's the issue though. If I DO that she MIGHT feel like she has to push for spousal or child support to get the $$$ to afford such a place. Right now it's pretty clear she just 'want's out' and is ignorant.
It is a balancing act. You probably will need to walk on egg shells a bit to get it over with. A lawyer can give you advice as to how to proceed with the least amount of risk. You do have to put the safety and well being of your D13 at the top of the list.
My coworker was telling me he thought my best strategy was to use Sun Tzu's Art of War. Getting the STBXW pissed would cause her to make mistakes. I told this to my lawyer and he offered to have my coworker come down for free and explain to him why his "Sun Tzu" divorce idea would fail. He told me to explain to my coworker that there are quite a few little and delicate details going on during the divorce and the last thing you want to do is get in a pissing contest.