I called the Dept. of Health and Social Services, Bureau of Vital Statistics in Juneau for you and, yes, anything less than 50 years old is considered confidential and you can't get a copy.I'd get that copy after your 50 years is up!For future notice, their phone number is (907) 465-3038.
Try the City cemetary (Anchorage) at (907) 343-6814 and see if they have your relative.There is also a private cemetary - 344-1311 - I don't know the name of it, though.
The Anchorage Daily News may be able to help you with an obituary.www.adn.com
There should also be a census in that time period you should check out, too.You can get it through the LDS Church - if they aren't your best genealogical friends yet, they should be!