I am talking with a HVAC contractor about having AC installed in my home. It is a ranch style house and my pellet stove is on the northeast wall. The contractor is talking about installing duct work through the attic so as to be able to cool the whole house, I initially was looking at a ductlesss unit placed in the center of the house and letting the cool go where it may. My question is, as we all know heat rises, will the duct work suck the heat out of the room nullifying the benefit of the pellet stove and making the rooms furthest away colder than I want them to be?