Welcome, Eric.
Nothing you've suggested there meets any manufacturer's requirements nor tile industry standards, best I can tell.
1. What is the intended use of this floor?
2. What is the species, grade, and longest unsupported span of the floor joists?
3. Given that you're apparently well short of the industry standard requirement for flatness for those large format tiles, have you considered one of the self-leveling compounds over the entire floor?
4. If you're required to adhere to that total thickness requirement, have you considered recommending a different floor covering?
5. You say the customer is averse to change orders, but what's being changed? What are the current specifications?