I don't disagree that the BOG should fix this, but given their reprehensible game management decisions over the last decade, I simply don't see it happening.  Giving the Park Service control of that land is another way to address the issue - that decision doesn't go through the BOG.  
But for the politics to work the Feds would have to give up something of value.  I don't like the King Cove road idea, but it's looking likely that they'll get their road regardless with this administration.  So give them the land with tight restrictions written into the transfer.