If you get locked out of your Block.io wallet due to too many 2FA attempts, you may experience some wait time while trying to reach their support staff*. The solution, I have found, is to reset your account's password.
If you cannot go through that process due to lost email or some other issue, this solution won't work, of course.
Just a self-help tip for anyone researching Block.io after having issues with their service
* Do they even have support staff?
You completely solved the problem! I was very desperate when I have this issue as I have sent all my coins to the wallet.
Thanks