Prices for older homes in more historic cities are high, even in the USA. But that's because commuting in Boston or DC is a fucking nightmare and most new development is occurring pretty far from the city centers. (though, not nearly to the degree of London)

When you get to places like Nashville, it's still possible to build a new home 15 minutes from downtown. Plus, fly-over cities tend to have satellite "office districts"* in the suburbs. So there's really no benefit to dealing with an older house, so, unless they are particularly charming, old homes come at relative discounts to new ones.

* Basically a town, usually off of a major highway, that is made up entirely of large office complexes designed for commuting by car from nearby suburbia.