Chatnami supports SMTP to send email as well as Amazon SES SMTP.  To add Amazon SES SMTP inside Chatnami , follow the below instruction.
Set SMTP Configuration like this :

Sender Email Address:  From Email Address [Must be verified in Amazon SES]
SMTP Host:  Your Account’s Amazon SMTP Server
SMTP User:  SMTP Username
SMTP password: SMTP Credential
SMTP port: 465
Connection type: SSL

Also make sure to move out your Amazon SES account from Sandbox mode to send mass emailing. Here you will get the information about how to Moving Out of the Amazon SES Sandbox