I put in heated electric floors in the bathrooms (about $1k each).
Byrant has a humidifier (https://www.bryant.com/en/us/products/humidifiers/) that integrates with the system. It also has integral HRV. As well as an air purifier: https://www.bryant.com/en/us/products/air-purifiers/dgapa/
It's not a bad compromise for our climate. Currently living in a home I designed that has mini splits everywhere and I really dont like them. Not enough air circulation and it's really hard to balance given a well insulated house on mildly cool days which is very common here.
I intend to always keep the fan going to circulate the air in order to clean (we have allergies) and humidify.