Just remember, a divorce is just a piece of paper. 20% of all who D end up remarried to each other. If signing it protects you financially, vs not signing it and potentially exposing yourself, then sign it. If you do not have to sign it until mid July, then acknowledge that she wants to sign it next week and you you will go on our own when you have some time.
I know it seems like the end. Maybe it is, maybe it isnt. Just remember to keep the focus on being the best you possible. If your W is to want to reconcile, you need to be a person she wants to be with. Whether or not your signature is on a piece of paper is irrelevant.
Best of luck to you.
Me: 42 W: 32 Married 7 years together 8.5 S1: 7 S2:7 Bomb #1: 09-16-13 Recon #1: 11/13 A discovered 04-03-2014 W filed D 05-19-14 but never served me I filed D 12-02-2014 S 05-31-14 Divorced 5-19-16