As for what became of the Stargazer between the battle with the Ferengi and "The Battle"? Canonically we have no idea, "The Buried Age" by our very own Christopher covers this very nicely. in the book the ship was overly contaminated by radiation when the crew evacuated and the auto-destruct system failed.
Ugh!! Yet another instance of the auto-destruct failing. That excuse has been used so many times on screen it's ridiculous. While I haven't read the book, I hope the circumstances surrounding the failure of the auto-destruct was a little more creative than the computer voice simply saying "auto-destruct is offline."