NYS is no fault, So you can try it and IMHO it will add to your lawyers bills, continue to add fuel to the fire inside your wife, and in the end you will still be divorced.
I think it is best to sign and get it over to then start the healing process. Right now your wife will see it as pursuing and clingy.
And yes I tried that in NYS, unfortunately the new law in the state is not designed to save marriages but to get you divorced.
