Thinking about this a bit more, there is a way to rotate the screen without having to move the iPad at all.
Go to Settings->General->Accessibility->Assistive Touch and turn it on. This will add a virtual button on screen. You can drag it around to where you would like it to be.
Tap on "Customize Top Level Menu" and then tap on [+] button below the icon layout.
This will add an icon to the Assistive Touch Menu. Tap the larger [+] in the icon layout and you can then customize this button to have the Rotate Screen option.
With that done, you can exit Settings, and when you need to rotate the screen tap on the Assistive touch onscreen button. One of the options there will be to rotate screen. Tap on it and you'll get four rotation options. Choose Left or Right to rotate the screen so the client can see the form right side up.
Repeat to rotate the screen back, or lift the iPad towards you.