wondered if this particular hairstyle has a name so I can find some better photos to take along to the barbers with me?
looks tapered, it looks like as far as guards go a 4 on the higher section of the head, tapered down to maybe a 2. On top, that's roughly ~3.5 inches. I won't touch mousse (moose) personally, you could probably get better results than that picture with a light hold pomade.
there are much better things for your dollar than american crew, but experiment with what product works for you.
I can do that kind of thing naturally with my hair, but I have an obnoxious amount of volume, if you want to maintain something like that just blow dry the shit out of your hair while pushing it back with a brush.