This is actually quite easy to do but there is one major problem if you are using WHM/cPanel.
You need to make sure you have this option set to off in Home » Server Configuration » Tweak Settings – Mail (Tab)
Restrict outgoing SMTP to root, exim, and mailman (FKA SMTP Tweak)
With this on it breaks your outgoing SMTP user so Amazon SES thinks you are not sending from a verified sender.
For more info on setting this up see here: http://www.silvatechsolutions.com/tech-tips/phplist-amazon-ses-perfect-together/