Unfortunately, cannot breakout the cost of the ducted system as it uses the same outdoor condenser as the minisplits. And I had to get a new air handler. But you should definitely look into the high efficiency centrally ducted heat pump units which should be able to be sole source of heating even in Connecticut. State has a list of units eligible for the rebate program:

https://dev1.energizect.com/file/28936/download?token=vYr4HF11