I have never been pressured to "upgrade." I know the hospital has the 3D imaging, but it seems to be reserved for those that clearly need a "closer" view.
Just my personal opinion, but I will continue going yearly. I don't even think about the exposure, frankly. With all of the chest x rays I've had for years of bronchial things, it seems like a moot point. That was awhile ago, but I would say some years I probably had 3-5 x rays a year.
It's true, though, that women seem to be more freaked out about breast cancer, when heart disease is the number one killer of women. And that is something that can be fixed with lifestyle changes. Gee, but that might require, well, change!