The arrest and charges will appear in the FBI record check. The disposition should show "court dismissed" for anything other than a conviction. That won't tell them whether it was a result of the DA withdrawing the charges or an acquittal at trial, though. They would have to get the disposition records from the court to determine what type of action got the charges dismissed. Worst case scenario would be that they ask you to provide them with copies of the court records. That happens in my field occassionally.

