Depends on what kind of effect you are going for. I didn't use an airbrush, but here's what I did trying 4 slightly different paint methods on Crossover miniatures
MDF shipping containers.
Quoted from a post elsewhere.
On a whim I bought and painted up some of the uber-cheap laser cut
MDF shipping containers from Crossover Miniatures.
4 for $15 was too good a deal to pass up.
http://crossoverminiatures.com/product/economy-shipping-containers-28mm-scale-mdf-4/
Here's the results:
These two got colored spray paint and stripe followed by a rusty brown wash (no wash on the red one) and tan drybrush
These two got black undercoats (one gesso, one black spray, virually no difference), wet/drybrush of base orange base and blue stripe, Rusty brown wash, and tan and ivory drybrushes

I found that one coat of colored spray (albeit either ruddy brown primer or primer+Paint blue) was enough to nicely cover. I did find that anywhere the glue was on the outside would make the paint shinier, but the drybrush stage hit those spots pretty well. Also, if you stick to one coat of paint, the etched detail stays the burned color and keeps the recesses dark.
Just to mix it up, for certain pieces where you actually like the dark burned edges, you can just wash the model and it will look like the one on the left. The one on the right is the red one above before stripe and dusty drybrushing.
I didn't like the look so I painted over the yellow-green wash, but it's something to consider.