Do you have a ductless mini-split AC system?

I am planning on building a new home soon and I would really like to go with a radiant floor heating system. Now I am considering my air conditioning options. I have never experienced one of these AC systems. Would I be satisfied with one? I live in the southeast US where air conditioning is a vital consideration. I don't want to just "settle" for one to go with the radiant floor system, I want a system that will do a good job. If you have one or know someone that does, please share your thoughts about the positives and negatives. Thanks!