Thanks for taking the time to write that up! That works great. I would not have thought to use an Output. I will mark the question as solved.
Alas, I still need to receive hover and click data, just not show any visual signs of interaction with the dcc.Graph. I found this: Hiding Plotly's hover text in g.hoverlayer?
but as a newbie I’m not sure how to "set each of my graph’s to hoverinfo: None. (I should probably post this in a separate question…)