7) game that died of natural causes, if the game is not moved from the location where it was found; for purposes of this paragraph, "natural causes" does not include death caused by a human;

(8) game furnished by the state, as authorized by a permit under 5 AAC 92.040.

Your answer in this situation is noted in the law in sections 7 and 8 above: The only way you can feed it to your dogs is if you essentially tied your dogs right next to it , OR ask for a permit from ADF&G. It is questionable whether they can allow you to use it for dogfood, but they can certainly issue a permit to relocate it for trapping bait.

This is the law, and has been for a long time, regardless of how it may may seem illogical at times. The purposes for which it was created are valid for conservation reasons however. It appears there is room for improvement. Also; 
http://www.newsminer.com/news/local_news/wildlife-troopers-warn-hunters-not-to-feed-game-to-dogs/article_eaeefff8-71ab-11e6-880e-0fc8ab2e2895.html