They surpassed the previous record of 263-5, set by Royal Challengers Bangalore in 2013
Team Manager Mohammed Moosajee said TV crew brought the drone to get views and images for use on their YouTube channel, a BBC report said on Thursday.
Bangladesh Cricket Board officials said the Civil Aviation Authority, Bangladesh (CAAB) banned flying unmanned objects in December last year.
The Proteas arrived in Dhaka last Tuesday to play two Tests, two T20s, and three ODIs against the hosts.
The drone was floated over the stadium on Wednesday.