I am not a computer expert by any means, but I think I was having the same issue as you. I could not figure out how to get an email verification code. Like you, I kept clicking through to get to a place to request a verification code and there was never a button for this. This worked for me: After you have signed in on the apple page where you can see your name, address, email addresses, etc., try editing your contact information. I added my cell phone number and received a text message with a verification code which I entered and then I was able to open my iMessages. My problem is not completely solved but after many hours of trying so many solutions, this was a step in the right direction. Wishing you the best.