I know, I know! The correct construction is, "There is not a book in our library with which I would want to part."
Eeewww. Snooty tooty!
My trick is to just completely re-write the sentence. “There is not a book in my library I wouldn’t miss.”
Oh, good heavens—they’re well-intentioned. If we meet anyone who isn’t well-intentioned, I’ll take care of them in the parking lot. :) (con mucho gusto.)