Hi and thanks for using just answerHave you tried installing the HP eprint Mobile app?You can download it to your Ipad by going to the App store and searching for Hp eprint while connected to your wifi open the app and it should be able to find your printer. Sometimes this app can get around the wireless setting changes unfortunately not all printers can use this app without the wireless network change you are describing.I would try and use this app to see if it is a work around for your steps as it is the only other option to the AIrprint steps you are currently using.
Their is already an eprint button on the printer but I have not downloaded the APP. However does this mean that each time I want to print a page I still have to come out of the internet open the App in order to print the page.
the app it self has a web browser that you can search in it with so you can print straight from the app. You can also bring up the print option at any point in your browser if you are not using the app. By clicking the send or the button on the screen that looks like a Square with an arrow pointing up and select print
Ok I will give it a try.