Duel class, duel backgrounds, Batman (5E)

One of my players and I happen to be talking about backgrounds in 5E. How they add flavor even if they are pretty narrowly focused.

Somehow the conversation went the direction of playing more experienced characters who were not necessarily more skilled at their class. How two backgrounds might be even more fitting than a duel class. Or might even compliment a duel class.

As these conversations often do this one turned to comic books for a frame of reference. Specifically Batman. If batman at the start of his time as the man bat was a D&D character how would he be best represented?

So here is my quick and dirty conversation batman build. I would start him off as level 2: 1 Rogue, 1Fighter (fighter being his class) with both the Criminal and Noble backgrounds. While growing up with as a young noble the murder of his parents consumed him. Disguising himself he sought out those that could train him in the ways of stealthful fighting and ways of the underworld.