I really don’t understand quite what’s going on here - most home heating and cooling in my country has used heat pumps for years, isn’t that the case in the US?
In Canada we have really cold weather and heat pumps are used but only down to between -5C to -10C depending on the efficiency of your pump. If I tried to run my heat pump in really cold weather it would just never reach the desired temperature.
One option is to use a ground-source heat pump in that kind of situation, if you have enough land to dig or drill to install the exchanger pipes. Most places in Australia where I live are able to just use air source but I've seen ground source ones in Europe.