Creating a new email account is possible on Yahoo Mail, in 30 seconds.
Use cell phone number verification instead of email. It's just as easy if not easier, and it's done on many sites today. Yes, you can download an app and get a random number to use, but this is arguably more difficult or time consuming than creating a new email account.
I've created new throwaway email accounts for new accounts on websites, but I've never gone through the trouble of getting a new cellphone number to verify a new account from.