Charleston, AR integrated their schools before Little Rock. They had no incidents because they didn't publicize it!
Little Rock, Arkansas saw a great deal of publicity when they first integrated their schools. There were protests and violence and national news coverage. Eventually, it got so out of hand that President Kennedy had to send in the National Guard to protect the few African American students that attended the predominantly white school.
Due to the drama, many may believe that Little Rock was the first southern town to integrate their public schools. This isn't the case though. A much less assuming town, Charleston, AK, was actually the first formerly Confederate town to integrate their school systems.
In fact, there were no riots, no outsiders coming in to protest, no media circus. How did they do it? They just didn't publicize it at all. The only incident that first day was a slur written on the walls. The janitor cleaned it up before the black students showed up.