I have searched all of the FAA and DOT, can't find any mention, application or approval for Commuter Air Carrier Status for Berry. Others have told me they do, but haven't seen proof.
If they do have DOT, possibility their records are sealed due to the Military Contracts and sensitive nature of their flights.
Berry may not need DOT for their business activity. Being a Charter/On-Demand Service, they can fly to any one destination with 3 flights per week. With that said, they could fly 50 or 100 flights a week if they don't fly to the same destination more than 3 times. So if Berry caters to the sports teams and entertainment industry, they would not be flying to the same destinations often in the same week. They also can't post a regular flight schedule, which they wouldn't need to do. Of course with the military they'd be allowed anything.
AAVG is looking for DOT because they want regularly scheduled flights to the Bahamas and Cuba. If DOT didn't come, it could mean a shift in the business plan to new destinations and activities, but certainly still can be a growing company.
Just my opinion.
AAVG