Alaska? How about establishing an office in McMurdo Sound (Antarctica)?
Nice as It is to suggest the FBI be in these remote locations, remember that senior officials will be making at least monthly trips to DC for hearings and other duties. My suggestion is to put the new HQ less than a mile from Camden station in Baltimore MD, so there is no travel and per deim for them. Better yet forbid them from using reserved parking when is DC, Make them take the train.