Send email from alias by default, Mail app

In the Mail app, I would like to automatically send new emails from my alias. I have the alias set up so that it appears as one of the options in the "From" menu when composing an email, but the "Send new messages from" menu in Preferences > Composing only lists my three accounts, without the alias option. Is there a way to automatically send emails from my alias, without having to choose it each time I compose a new email? In the Gmail webapp, this can be done, but I'd like to do it from the Mail app.