Not saying this is the proper solution but have you considered some sort of Poke-a-yoke system?
Instead of measuring the parts in four places and then needing to do some gymnastics to get it accepted, why not create a Go-NoGo type of Gage. Such a gage, or gages, properly designed could take into account out of round condition, min-max acceptable etc.
Which makes me think of another question. Is there an out of round allowable on the part?
Peace
James