@compmom, I didn’t get that impression that @MaineLonghorn was saying that as soon as kids find their path they can get off meds. I think it’s fine for families (health advocates included) to acknowledge that some people need meds but still be happy that their kid isn’t one of them. It’s a valid emotion and one families should be able to explore.
@bjkmom, Oneonta is a nice area, Your daughter seems to like schools that were built high on the hill. 
Is she taking a car to school? My kids like to travel, so the ability to spend a Saturday afternoon out and about would be important to them.
I think Delhi is the most rural/remote feeling of the group. If I remember correctly, it’s just off Rte 28 about half an hour from Oneonta. You can get an interstate in Oneonta, but getting in and out of Delhi involves that half hour (in the fall/spring) drive on a two lane, hilly road to get to and from the highway. It’s a longer drive in the winter.
Oneonta is bigger than Delhi. You can get to the interstate pretty easily. I think there are still buses down the hill to town, but I don’t know how late they run. The interstate can feel pretty quiet, especially at night, so it can feel pretty rural too.
HCCC is also on a hill, but it’s a smaller hill than Oneonta. Herkimer is on the NYS Thruway about 20 minutes from Utica and an hour from Albany. It’s a small town too, but because there’s such easy access to small cities it doesn’t really feel that way.
I think it’s smart to be prepared because kids change their minds. Both of mine said (the summer before senior year) that they didn’t know if they wanted to apply to college yet. Both ended up applying and getting accepted to a few schools, then chose to take a gap year. My son decided to commute to our local SUNY so he could graduate without debt and have money to travel. My daughter sounds like she’s leaning that way too. Visit schools and let your daughter decide. Having an acceptance or two might be helpful in the spring when everyone else is talking about where they’re going. If you have an acceptance, you can always choose not to go.