Texting Myself

I used to send my iPhone text messages (to myself) and when I did, they would be sent in the blue bubble and then arrive (repeated basically) on the phone in the blue bubble. Now when I send them to myself, they are sent in the green bubble and they go to my email address. I don't want any text messages going to my email address. I don't even have my email address marked as a place where I can receive messages in my Settings. What can I do to stop this?