How can I melt the hearts of the check-writers at EasyJet?

Okay, this question is sort of a joke, but I do want semi-serious answers! I recently missed an EasyJet flight. I didn’t get the memo about the “Rescue” policy until it was too late. I paid for a new flight and ate the cost of the old one. I’d like to write to EasyJet and ask for a refund, but the policy is quite clear and doesn’t leave a lot of wiggle room.

I figure the only way I have a chance is if I really amuse them or something. Can anyone think of a way to earn the laughter or affection of the British-owned EasyJet? Or if I send along a picture of me looking really cute and sad?

Thanks!

And “Nope, you’re shit-outta-luck” is not a helpful answer.