I reckon the airbrush would be OK with thinned acrylic for burst but i wouldn't want to try and spray a full guitar body with one.

A single piston direct drive compressor and an Ozito or similar HPLV detail spray gun would be my starting point, get a decent moisture trap/regulator from a spray shop.

Learn to drive that and it will see you home, won't have the capacity for airtools but more than enough for what you want.

I painted the car in my avatar with this basic setup but did have a quality full size HPLV gun.

Now have a much bigger compressor