Even a spray booth will not completely eliminate dust. Turns out spraying, whether from a rattle can or airbrush, can put a charge on part being sprayed in dry weather. Sort of like a less-efficient electro-coating. The suggestion to spray water in the area before hand is a common trick. I find the spray booth does drag dust from area into the booth, and anything that lessens dust in area is good.
I get the freshly sprayed part under a box as soon as possible after painting, with the box propped up for air exchange. I am intending to make a permanent version with filtered air inlet and outlet. Some friends use food dryers, but I am afraid of those running too hot (they do not have good temp controls). So my gadget is not to speed drying, but to keep part/model in dust-free environment while it drys.
Point of spray booths is to keep paint overspray from shop. I remember the "laminar flow benches" when I was working, where air was drawn in, filtered, and blow through bench out towards front. Something like that would be ideal for dust elimination on model, but would make a mess of my shop :-(