Kinston is currently the home of the Cleveland Indians' high-A team, but their PDC is expiring this year. This would give the Braves the opportunity to move in on Kinston, as the only other location with an expiring PDC has been renewed by the Washington Nationals, which was Potomac, Maryland.
The ballpark in Kinston is Grainger Stadium, the home of all of Kinston's minor league teams since 1949, and it seats 4,100 people. In contrast, BB&T Coastal Field, the Myrtle Beach Pelicans' home park seats 6,600. Myrtle Beach was a prime location due to the fact that it is a well known vacation spot.
This is far from official, but in terms of logic, it seems like the most likely landing spot. We'll have another update when the Braves make an official announcement about their decision.