I wouldn’t want to blow flammable or toxic vapors under my house. But, if you extend the hose and route it to an outdoor exhaust it might be OK. If the run is too long, it might affect the flow rate, and that’s not a good idea.
Does the crawl space have airflow? Meaning is there vents leading to the outside. If yes I don’t think you would have an issue but if no then it could build up over time
If it typically gets really hot under there, I say no to be on the safe side. IF… you have sort of a vent leading outside, I see no reason why you can’t.
Again, it all depends what you got going on underneath in the crawlspace.
Don’t you have a window near your airbrush spray booth you can vent out from?
With acrylic or water based products, likely no or very limited risk factors. However, if like me you commonly use lacquer or enamel paints, I’d say no.
Even with acrylics, the most used cleaners are alcohol or lacquer thinner, when spraying that rinse agent through the AB an explosive/flammable material is now entering a questionable area.
As well, with those mentioned cleaning agents there would be environmental considerations, like vapors possibly entering the living area over time.
If the end result is uncertain, probably best to not allow any risk to be present. Just my thoughts.
If you plan on selling your home I wouldn’t, over time that chemical smell gets into the wood and insulation and may never come out, kinda like a house that has un kept pets. Safety first! Wide open spaces.