Members only calendar?

We have a small community club website and use Ultimate Member to keep most club information visible to members only. I don’t see an easy way to force MEC to only allow logged-in users to view the calendar and events. I was able to disable the default Archive pages and use the MEC slug on a page that has Ultimate Member restrictions, but the individual events are still visible to guest (not logged-in) users.

Is there an easy way to do this? Or, is there a MEC event I can hook in my theme on each archive/category/event load?