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

https://blogfreely.net/borianyvyf/signs-it-may-be-time-to-replace-your-salt-lake-city-ac-5p7q

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.