Sending Automated Emails from a Secondary Email

Sending Automated Emails from a Secondary Email

I'd like to send automated emails from one email address ( name@domain1.com) in my crm. This could be a custom field from the user account, or however Zoho needs to recognize it. The problem is, I'd like another email address to be the default address ( name@domain2.com) for a given user in campaigns corresponding to the "use  CRM owner address" option in Zoho Campaigns.

We use Gmail as our email host and client. Is there a way to accomplish what I'm describing using a custom function, referring to a custom field within the User module?