IMO, read one of the "places rated" evaluations -- it's overly simplistic to try basing the decision on just one form of taxation. There's simply too many variables, even among taxes: such as property taxes, personal property taxes, automotive excise or registration taxes, state taxes on gasoline, electricity or other energy source, etc.
Then, you have to factor in the cost of housing, cost of food, cost of heating/cooling, water/sewer, etc. Housing costs vary greatly from one area to another, even within a state as discussed earlier. Housing costs alone are often up to a 1/3 or the typical family's "bills"...
IMO, moving around the country in the military for almost 30 years, the only major expense that doesn't vary a WHOLE lot is the cost of food -- unless you're in Alaska or Hawaii where much of it is imported. There certainly is some variation, but much less than the other major expenses. Housing costs and taxes have HUGE swings...
Also, don't overlook the impact of climate on the equation, due to the costs of heating/cooling. Many "snowbirds" don't realize the cost of air-conditioning in the Deep South, only thinking about escaping heating costs, for example...
Plus, don't forget the accessibility of quality medical care. You could move to the middle of Wyoming or Eastern Montana and find cheap housing perhaps, but where are the closest doctors and hospitals -- that is a key factor in retirement planning also.
I considered myself lucky when considering this decision -- going "back home" happens to be in a relatively inexpensive place with a mild climate, and has adequate healthcare...
Ironically, that happens to be going back to East Tennessee to retire. I don't know what's going on in Cookeville specifically, but Tennessee (outside the 4 bigger metro areas) is still one of the least expensive places in the country. As an example, East Tennessee and Western North Carolina are seeing huge influxes of retirees -- surprisingly not just from the snowbelt, but actually many (most, it seems in some areas) are people who'd retired to Florida, but are now moving out of Florida due to costs, over-population, crime and hurricanes...