re: Does anyone have any advice for airbrushing black?

Same problem, it’s either turning green or red/pink or purple :(
What you can do is use real black gelpaste and dilute it 1:1 with water. That is much more black than the airbrush colors and will give a better grey. Just take any superblack gelpaste and dilute with water.

Love making 3D realistic looking cakes <3