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

https://westusa2.blob.core.windows.net/hvac-plumbing/when-your-mini-split-ices-over-in-winter.html

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.