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

https://louisuelc135.cavandoragh.org/why-your-mini-split-may-stop-cooling-during-a-hot-salt-lake-city-july

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.