Want ductless HVAC in our kitchen

I need to get some form of ventilation for the family room. My family room is just not set up that good. I have the stove and microwave right over top of each other. When the stove steam rises, the condensation forms on the microwave and then drips back down. The steam from our cooking goes even higher. It rises up to the ceiling and leaves little water spots up there. I hate how moist and sizzling it gets when I cook. I know the reason it is so bad is because I have no airflow in the family room. I need air conditioning or at least a fan moving around the air. The steam needs to be wafted around and the air should be chilly when I cook. The problem is that when our lake house was set up, the family room was originally in a weird room. My hubby and I expanded our condo however forgot about Heating and A/C. There are no air ducts in the family room or open air vents. We just made a solid room that is sealed from the rest of the house. Because of this, the people I was with and I can’t attach the current Heating and A/C component to the family room. What I will need to do is buy a ductless mini break for the family room. This will provide both heating and cooling function and its own separate temperature control. It will be high-priced however it is the only way to have airflow and weather conditions control in the family room area. Sure I could go cheaper with portable Heating and A/C, however it would not job as good.

heater plan