The listed links will take you to the issued weather forecasts for the various bases:
NB Kitsap (Bangor):
Bangor Trident Base WA 47.72°N 122.7°W (Elev. 400 ft)
NB Kitsap (Bremerton):
Bremerton, WA 47.56N -122.62W (Elev. 0 ft)
NAVMAG Indian Island:
Port Hadlock WA 48.04°N 122.74°W (Elev. 0 ft)
NS Everett:
Everett WA 48°N 122.22°W (Elev. 0 ft)
Whidbey NAS (select one of the point forecast locations below):