There are some brands of acrylic paints sold as non-toxic and safe for use in children's hospitals but the brand names escape me at present.
These paints are certified not to offgas any volatile organic compounds and there is a blurb on the labels reading such. If I remember the names or figure out the right way to phrase a Google seach so I don't just get 6,000 nonsense hits I'll post it here.
It might not be today though because I took a Benadryl and a beer so I'm not responsible for making any sort of sense for several hours.