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

https://josuekmdh775.quillnesty.com/posts/will-a-nest-or-ecobee-work-with-your-salt-lake-city-hvac-system-2

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.