This seems like a horrible way to try to heat a house. Any ductless system is going to blow hot air into 1 room. Unless the house is just 1 big open space, I don't see how that would have any chance of providing a comfortable environment.

Mini Splits have been around for years++. What U hear about them are how incompetent installers install them. Try www.mitsubishicomfort.com/ the best ..they have some very good systems. Make sure you talk to a mitsubishi rep. not a hvac contractor first. asked the rep to refer U to one of there best contractors...thats the best way to "get it right"
These are pricey products. But excellent. They have systems that have one outdoor sections and upto 8 indoor coils. As far as heating with hot air into one room this is not a solution. As far as concrete floors...thats what is horrible! I just finished redoing a floor. Replaced the entire house with Platon, and hardwood.

If anyone else sees this and wants info on minisplits, I encourage them to post in the heating and AC forum. This is just the wrong place for this thread.