This is a stand designed for my Badger 105 Patriot gravity-feed airbrush. It may or may not fit other gravity-feed airbrushes, but it certainly will not suit bottom-feed airbrushes.
I have pierced the base with countersunk holes so that it can be screwed to a desk or a heavy base if so desired. I think that might be a good idea, as a FDM printed object doesn't have a lot of mass of its own.
It requires only minimal supports, probably none at all if your setup bridges well. Cura's "Make overhangs printable" option does the job just fine without distorting the geometry in any important areas, and with that enabled it doesn't require any supports.
2018-11-15: I updated the stand to include a cap-keeper to keep the Patriot's cap on while the brush is in use. I've also included the keeper as a separate STL, in case you already have the keeperless stand and don't want to reprint the whole thing.