ductless air/heat systems

Mitsubishi is a popular brand, but there are many others. I think they are all made in Asia. There are many possibilities. One outdoor unit can serve several indoor fan coils in different rooms. The advantage is that you can have individual temperature control or turn some rooms off. The systems are reliable, quiet, and efficient.

Even though there is no ductwork, the installed cost is not cheap. And the heating capacity drops off quite a bit in low ambient temperatures. I notice you are in Minnesota - yikes!