Seems always the last thing we have in our stomachs before with leave the city of sin is the Korean Beef Tang Soup from Kimchi. Located at the end of the strip past encore we've shown up at 7 in the morning after a hard night's work.
It is by no means cheap eats but when you need something comforting and need to skip that burger the soup will satisfy your sinful soul, and help soak up some of that alcohol
They even have a "taxi" (some guy with a minivan) if you need to get home, but i think it only works if you can speak korean.