Good question re. the post-nasal drip. They do look in the throat as part of the exam so I am sure they can tell if there is a lot of that going on before they do the swab. I think the culture would still be valid, since many with cf culture bugs in their sinuses too (and whatever is in the sinuses can wind up in the lungs.)
They always have Emily do some deep, long huffs and coughs before doing any culture, even if she can't hock anything up. Following the huffs, odds are hopefully better that anything they get would be from the lungs, not the sinuses, I hope.