I find an airbrush puts so little stuff in the air I do not worry about it. It is not like a spray can. If you are putting clouds of paint in the air, I suspect you are using too high a pressure and using the airbrush more like a spray gun and less like a brush.
I have a ventilated spray booth, but again only use it for spray cans. I use a dryer vent hose to connect the booth to a panel I use in regular sash windows. However, in the winter here in Minnesota I am reluctant to insert that panel in the window and often do not use the hose. I find the filter in the spray booth removes most of the crud. Yeah, I can still smell it, but no clouds of paint particles, just the solvent fumes. My shop is 20 x 12 feet, so there is a fair volume for the fumes to disperse in.