You have already identified the available external cooling solutions that are often employed in high-temperature environments.
Unfortunately, cockpits tend to have both high temperatures and high ambient light levels. The iPad will respond to ambient lighting by increasing the screen brightness to its maximum - causing more even more heat to be internally generated. Ultimately, the iPad thermal management may intervene to reduce temperature - by dimming the screen, throttling the CPU, or even shutting down to prevent damage.
While useful, an iPad was simply not designed to operate for extended periods in such a hostile operating environment. The iPad’s ambient operating temperature range is quoted as 0º and 35º C (32º to 95º F), noting that using an iOS or iPadOS device in very hot conditions can permanently shorten battery life. Store temperatures are similarly quoted as -20º and 45º C (-4º to 113º F).
If your iPhone, iPad, or iPod touch gets too hot or too cold - Apple Support