If you prefer more pop-culture taste, "Never Split the Difference" is kind of similar (even though philosophically different.) The story is all about FBI and kidnapping, so it's less boring while the points made are a bit shallower than "Crucial Conversations".
[1] https://www.amazon.com/Never-Split-Difference-Negotiating-De...
https://www.amazon.com/Never-Split-Difference-Negotiating-De...
You might also be interested in looking into nonviolent communication.
https://www.amazon.com/Never-Split-Difference-Negotiating-De...
https://www.amazon.com/Effective-Negotiating-Strategies-Succ...
https://www.amazon.com/Pre-Suasion-Revolutionary-Way-Influen...
Never share your situation and security. Your plan is sound otherwise, just say "I need more time for family" or whatever will trigger the response that gets you this outcome. As long as they need you, they'll accommodate.
https://www.amazon.com/Never-Split-Difference-Negotiating-De...