Pictures on social media purportedly from the crash site showed what could be the remains of a Bombardier E-11A aircraft.
The survey also found that 80% of Afghans surveyed said a political solution was the only way to bring an end to fighting.
The mayor said U.S. Army Spc. Miguel Villalon's death was "personal" to him.
The Taliban control nearly half of Afghanistan, and continue to stage near-daily attacks targeting Afghan and U.S. forces.
The headquarters unit of the Army's 10th Mountain Division is headed to Afghanistan in the spring.
The Taliban denied any involvement, saying the attack was triggered by a personal dispute.
The family of Staff Sgt. Ian McLaughlin greeted his flag-draped casket at Pope Army Airfield.
The Taliban immediately took responsibility for the attack.
An Afghan official said the attack had taken place in the Dand district of Kandahar province.
An Afghan military helicopter crashed on Wednesday in the country's western Farah province, killing the two pilots