Sometimes the most humane thing is to snuggle a dog and comfort them, and send them to the bridge.
The last thing I'm sure you want is for her to go to another home where they keep her for long enough for her to be bonded, then give her to someone else. You can control who you send her to, but you can't control who they may give her to, if they decide to rehome her.
I am so sorry you are going through this. I just shudder at the pain you are in right now.
You can message me anytime you just need to talk, I'll give you my number and we can chat till 2 in the morning if it helps...I have GREAT phone stamina!