How can I change print quality and print profile settings when using Airprint?
According to Apple, AirPrint on iPhone is simplified application.

It only lets you choose the printer and the number of copies, but not print quality etc.. in other words it use the current Printer defaults.

So what can you do?

Log in to the printer's set up page IP address that you need to know it first, but it is something like (192.168. xxx) and change it there.  However, this solution will affect all following documents until you change it again.