NOTE: Back in the start of PB9 I tested barb activity extensively. It is safe to settle a city in a tile immediately next to a barb animal (i.e. with the barb inside the first cultural ring). Barb animals will never move onto a tile with your culture, and the city center has your culture. If there is an adjacent tile free of your culture the animal will exit to that tile. If somehow the barb gets completely engulfed in your culture it will just stand stationary.
EDIT:
you already knew this, and I'm a bit behind the times catching up on your thread
EDIT:
