Cheap complete sets are not usually worthwhile. Here is just the compressor. Buy a decent airbrush separately.

The subreddit FAQ/wiki explains this in more depth.

The difference in cost and value is the tank as it evens out the pressure, preventing the huge discharge when you first press the trigger and extending the life of the compressor as it doesn't have to run continuously.

You probably could fly with a compressor but you might exceed weight limits and pay considerable fees, negating any savings by buying inexpensively.