I don't have a great answer to solving your problem right now, but here's the long-term solution to measure it over time:
In a nutshell, each email and engagement program template had a smart campaign that would add a +1 to the 'Monthly Email Sends' score field every time an email was delivered. I then had monthly batch campaigns to send me reports of all the scores across my segments, and then other batch campaign to null out the scores at the end of each month.
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The question is already answered here: Measuring the number of touches on a lead
Not a so good practice to post the same question twice: I read it having the impression of deja vu and wondering whether I was becoming amnesiac