Hmmm… here’s an idea that might work. So you shortcode looks something like the following, right?
What you need to do is create a “Results” page and on that results page is use just the
[connections] shortcode with no options … or … maybe just like this,
[connections list_type="individual, organization"], so families are not returned in the result.
Now, on the main directory page page update your shortcode to be this:
[connections list_type="family" home_id="X"]
X for home_id should be set to the page ID of the “Results” page.
I think that should get you the results you looking for. Let me know.