You do have to keep in mind that the cost of setting up utilities at the sites is no cheaper in the North than in the South, while the camping season is less than half as long. (Depending on the terrain and vegetation, it could be a good bit more expensive to install in many places, at least compared to my memories of much of Texas, but that's much more variable.) For my part, I'm always somewhat incredulous and envious when I read of other parts of the country where full hookup sites are available for less than, say, $30 a night.
Anyhow, the majority of state parks with camping do have dump stations and potable water fill stations and showerhouses with hot showers. If electricity isn't available, there generally are generator hours (sometimes rather limited ones, a couple hours in the morning and a couple in the evening). If you pick your parks carefully and have even a little luck with the timing, you might not need air conditioning at all.
New York does have some state parks with electric hookups at some sites and relatively reasonable prices. Vermont has no hookups at any campsites, save for the volunteer/camp host sites. Those are the states I'm most familiar with the state parks in (or, at least, the least unfamiliar with them).
Burlington North Beach campground, operated by the City of Burlington, VT, has some sites with hookups...for the bargain price of $45 per night. The beach is very nice (and popular), the campground adequate but nothing special.