How do I get Automessage to work with private blogs?

I create blogs manually through the network admin.

Blogs are initially created with Reading>privacy mode> Visitors must have a login - anyone that is a registered user of [...] can gain access.
Automessage sends the scheduled email out if my new site has privacy settings of letting search engines index the site but it doesn't fire the email off if my privacy settings are visitors must have a login.

How do I get scheduled emails to go out to blogs if the site is in this private mode?