Finally, I found a 3D-printed airbrush holder stand from Ultimate UK that is easy for me to put on my work table as well as carry around. Those presently available require to be screwed to the side of the table. I wanted one that does not need to be screwed to the table as I need to clear my work table, which is also my dining table, after each session.

The stand has through-hole that you can put your finger in and carry the stand around (I am not sure it was by design or hidden feature). This stand comes on 1-, 2- and 4-airbrush holder versions.