@DanielM4032 here is an article about the direct integration from SF to CC, which is probably not helpful if you've already read it. https://knowledgebase.constantcontact.com/email-digital-marketing/articles/KnowledgeBase/43703-Connect-your-Constant-Contact-account-with-Salesforce
Regarding Zapier, that is frustrating for sure, I've been successful in upvoting and requesting certain options in a zap and had them come through with it in the future, so it's certainly worth requesting Zapier to expand their options on the triggers. I'm gonna submit it to them now on my end as well and also ask them to be sure there isn't a filter option in one of the triggers.
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