By Mark Thiessen THE ASSOCIATED PRESS ANCHORAGE, Alaska (AP)- Before Morris Nashoanak heads out for days in search of bearded seals, beluga whales or salmon, he catches the weather on TV. But it’s not the weather segment from a local TV station, there isn’t one. Instead, it’s a program designed for those living in rural and largely roadless Alaska, with separate forecasts for mariners, aviators and residents to help decide whether they can safely hunt, fish or fly. “Alaska Weather” has been must-see TV for 47 years in a state where extreme weather dictates everyday life. But the daily program, the only weather show produced by the National Weather Service, will have its last on-air broadcast Friday, with business considerations ending its distribution to public television stations in Juneau and…