$10K for email recovery fee? that's lot of money bro, I hope it's comparable to your data in that email.
I guess you should really convince everyone that you will pay them 10K if they succeed. I'm just not sure about the amount you promised because basically you can leave at any time without bothering with this account again if it works. Should you be spending 10K on fees instead of create new email or spending 1K of them to contact google?