Another vote for Marengo. Very good beginner cave. My youngest were around that age when we went, but the older ones enjoyed it, too.
Here's a picture of the family in front of "The Mummy."
My aunt had one in her house that had to be built at least 40+ years ago, similar to the one @Slow Hand desribed (in the central hallway ceiling with louvers). Wasn't the quietest thing, but it was effective in moving the air.
So they were acting in a manner that caused you to make an "executive decision," and their lack of forethought has now cost you time and money? Hate to tell you....