My roommate is a CFI right now at UND and the NTSB came in and briefed all of the flight staff on exactly what they think happened. They extracted the last 5 min or so of data from the flight director and from that, as well as DNA on the surface of the place come to the following conclusion.
The aircraft was straight and level, the initial strike was on the nose, when in turn caused the airplane to pitch downwards. In turn that pushed the tail up, which then hit the next bird. because of the angle of the now bent tail, it caused the plane to pitch up and also roll over onto its back and pitch downward straight into the swamp. Estimated time from first strike to impact: 6 seconds.
They told them that the force of hitting a 15lb Canada goose at 151 TAS was equal to dropping a 10,000 lb weight from 10 feet in the air. There was literally nothing they could have done.