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.
I am thinking about just flat out not signing it but also not contesting the divorce....so basically just letting the case sit until the judge forces the issue in hopes to buy more time in this DB process.
You can't stop it, only delay it. Divorce does not end DB'ing unless you want it to. Have a look at Crimson's threads, it wan't until after D that they started steps towards reconciling.