as not sure if the HVAC contractor is familiar with them.
Find one that is.
'Tis the season for homeshows. Go to your local homeshow. A quick walkthrough will reveal the HVAC contractors displaying the ductless minis. One of them is going to be able to demonstrate a unit in operation so you can judge for yourself on the noise, but the benefit of the "split" is that the compressor is outside. I have numerous quotes for installation of a 2-1/2 or 3 ton system with 3 indoor units that range from $6,800 to $8,000. These have been in use outside the US for decades.
Why only the first floor?