Trying to find a football like the ones they used to play the game. I am pretty sure they use Nike Vapor Elites. If anyone knows where I can find one with the App logo on it please let me know!

Have you called Nike or the Appalachian Football Office? I don't know if they are licensed for sale.

I'd reach out to the equipment crew. End of the year they might have one for you. I assume they get new ones often.