In between frying my brain trying to line things up, I am doing a little historical New Orleans research of my own (since I like that stuff). I'm not entirely sure the post card is where Dup thinks it is and have been trying to find a better location but the in-game map from the trailer is almost useless to find out where the street cars are. The building footprints are also more basic.
The building in the background of this robbery shot has similar architecture to the H.B. Stevens & Co building (with a bit of the Crescent Billiard Hall next door):
https://www.google.com/maps/@29.9533515,-90.0694928,3a,43.5y,203.09h,97.3t/data=!3m6!1e1!3m4!1swMbB2LrZ_zJcboG7LuMUJQ!2e0!7i13312!8i6656
^They are the two buildings all the way on the left. The third building is the Robinson theatre previously mentioned. So assuming that is correct, there is a chance the bank is nearby the statue and others.
And on the subject of the statue as a reference point, it wasn't in any special area in real life. It was plopped down in the middle of a wide street. Not even at the end: