99% of all casino players send their documents in via email, and never fax a thing.
What's there to be scared of about creating a web based email account? Familar or not, anyone with basic (or less) computer skills can do this. All you have to do is answer a few questions. Name, email address name that you want (can be anything that's available), etc. If you can follow instructions, it's very simple. All of the information needed to sign up is explained pretty good......and again, nothing is changed on your computer, and you don't have to give out any personal information in regards to address, phone number, etc.
Seriously, what do you have against even trying to open a free email account? I guess if you want to be stubborn, you're going to be the one waiting extra time to get the money. We're just here trying to give you suggestions for how to speed it up.
And about the calling AMEX and telling them you're sending in your card to someone.....holes in it or not, I'm sure that'd raise a red flag with them and may even get your account closed.