I have a Harbor Freight
Airbrush Compressor - 1/6 HP, 40 PSI with a copic adapter (Set 3)
Copic Airbrush System - BLICK art materials The working pressure PSI is the important thing from what I remember.
There are some good reviews on the Harbor Freight site (I haven't had a leak problem with the Copic set up) about other things to look for to make this compressor better if you are looking for something more.
I use mine with Ciaos, no problem with just some padding and masking tape. If she is willing to wait a few more weeks, I think there were quite a few airbrush systems/holders at CHA that have different adapters where it wouldn't matter which markers because TBH most alcohol markers are alcohol markers.
If I were buying now I would want a marker holder that is more like the ones on the Spritzers that can adapt to any marker easily with either a sleeve or turn of a tightening screw. (heck, I think I will ask my engineering student)
I think I originally ordered my set 3 from Oozak and highly recommend Oozak for customer service. I also have had a great experience with Dick Blick too.
HTH
Harbor Freight do sales and coupons. I got mine for less than what is listed there.