What airline are you flying? If it's Southwest and you need to hit it right at the 24 hour mark, I feel your pain

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I'm pretty sure you can have guest relations at any park print them out, so you don't even have to leave EPCOT.
We fly SW and last year we called my FIL from Raglan Road and had him go online and take care of it for us, and then we just reprinted them from the airport.
Good Luck!