Well as a former bar examiner investigator and other investigative work in criminal justice, i can tell you hands down that any fbi fingerprint check will indeed reveal your arrest. a national check using your name and other identifiers will also reveal this arrest, but the chances are reduced if you used an alias during booking. if the ga bar application requires disclosure of that event then you need to disclose it. the bigger issue is your consideration of not disclosing the arrest. in my professional experience, lack of candor is the #1 reason applicants are denied admisison to the bar. Just a little side note...do not use the terms crooked cops when you explain your arrest...you will come across as having a problem with authority and shucking any responsibility for your actions that led to the arrest. yes, there are crooked cops, but the bar examiners aren't investigation them, they are investigating you. so unless you won a civil lawsuit against the cops in your arrest, leave out terms such as crooked.
Hope I've helped.