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

https://ricardolues463.brightsora.com/posts/why-salt-lake-city-s-hot-summers-and-cold-winters-put-extra-demand-on-your-ac

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.