Have you tried this yet?
"I want to get the verification code email at a different address
You can update your email address.
- Select Not your current email address?.
- Select Account settings.
- On the Intuit Account screen, update your email address under Sign in & security.
- Return to the File section and select Start next to Step 3
Your new email address will be listed on the verification code page, and you’ll receive another verification code at that address."
TurboTax FAQ: What if I'm having trouble with my filing verification code?