The three Jews in the Babylonian furnace makes such a great visual connection (i.e. "three of fire"), but what does it have to do with the meaning of the Three of Wands? Meaning-wise, it would be better for Strength, or some such. I think I was just taken by the cliché of it. But Jesus & co. on the road makes a much better correlation with what I know about the Three of Wands.
