I could send you a list we use in central Virginia that shows specific specialties each hospital has

It's cool to see this posted, If you ever go back to update it for anything I would suggest adding filters for whether the hospital has certain specialties, like does it have a CATH lab, what level of stroke care does it provide, is it a trauma center and if so what level, does it have pediatrics, is it a full hospital or just a freestanding ER. Or just overall re filtering the map by specialty

With those filters you'll see a pretty massive change in how this would look. Even a lot of the areas surrounding Richmond might show a <10 trip but in some of those areas it's only because of the freestanding facilities.

for disclosure i'm saying this as an EMT in the state, from where I work depending on type of patient their distance from an appropriate facility could go from <10 to 30+

Overall though I love this map, it provides a good outline of hospital coverage in Virginia.

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*edit I will add on that looking at the regions where I respond it does line up with the distances you've shown.