I'm cool with most public health things in school, until they cross the threshold carrying a needle.
Our school doesn't have the health department in to do that stuff, though, so I might change my tune if I was in your situation. We don't have dental checks at our school, either, but I can think of at least two schools in our area that might have them or at least where a majority of the kids could benefit from them.
I think another thing is parents are so busy now, it's easy to skip/miss a checkup or just forget to make the appt. And places I've lived (all midwest areas), there were either programs in place to help families with cost for dental care or a dentist or two in town who would do basic dental work for a greatly reduced cost, so it wasn't handing an overwhelmed uninsured parent a letter saying their kid needed fillings. I agree that would stink.