For Salt Lake City homes with no ductwork, ductless mini-split heat pumps are a recognized option

https://devinjgpe949.iamarrows.com/why-a-thermostat-problem-may-not-be-the-thermostat-at-all

For Salt Lake City homes with no ductwork, ductless mini-split heat pumps are a recognized option, especially where existing heating is radiant, hydronic, or space-heater based.