State to state won't help much. You have to really dial it in to within a few miles of where you are hoping to reside to get real answers - even metro level data can be very misleading, for instance in rust belt cities where averages are weighed down by large depressed/poor/high crime areas, while the healthy areas are significantly more expensive. In my opinion, your best bet is forums like CityData to get down to granular understanding of what the costs even are, and using Zillow, walkscore, and ARCGIS data sets to figure out, relatively speaking, which neighborhoods are problematic or lacking essential services and so forth, and go from there.
It's also possible that if CT has high state taxes, then munis may have low taxes, while GA, being a southern state, probably has super low state taxes, but higher and less efficient muni taxes to make up the difference.
