Multisplit with MHRV, number of heads?
Having a split system will heat the home you do not need to have each room connected if you leave your doors open. In my area it is common to have 2 or 3 units in the large areas of the home like the dining room/ kitchen and one in the living room. And sometimes a small unit in the master bed/bath room. Your area gets colder than where I am at but it comes down to how uniform in tempature do you want the house, if you can live with doors open at night 2 inside units could do the job. If you want 1-2 degree range throughout then more small inside units would be needed.