All almost a dozen passengers on board survived the incident, and were flown to Ketchikan aboard Temsco helicopters and transferred for medical care.
Hengen said there was roughly one-quarter mile of visibility as crews searched for the crash site about 40 miles (63 kilometers) southwest of Ketchikan.
Taquan Air, which conducts scheduled flights and sightseeing services, said it was a chartered flight.
The survivors were transported by helicopter to a staging area on the eastern end of the island en route to Ketchikan, where they were evaluated before being taken to Ketchikan General Hospital.
US Coast Guard Petty Officer Charly Hengen says a helicopter winched the pilot and passengers to safety, the AP reports. "The aircraft emergency locator transmitter has been activated". The Coast Guard, in a release, said all on board were reported to have received minor injuries but otherwise were in good condition.
Clint Johnson of the National Transportation Safety Board in Alaska said the plane was a float-equipped de Havilland Otter aircraft.
"It's a pretty good-sized rescue", Johnson said. "Sector Juneau watchstanders have directed the launch of Air Station Sitka Jayhawk helicopter crews", Hengen told the Anchorage Daily News. Preliminary information indicated that injuries but no fatalities were reported in the crash.
The pilot and 11 passengers have not been identified by authorities yet.
The plane took off from Prince of Wales Island Tuesday morning bound for Ketchikan, about 25 miles away. Johnston said the priority now is to reach the crash site and make sure they're safe.
"It was reported that 11 people from the plane crash are alive, but have injuries", the US Coast Guard said in a statement following the incident near the southeasternmost city of Ketchikan. The extent of those injuries is not yet known.
He says the Coast Guard, an area search and rescue team and a trooper were responding.