Carson is correct, Roddybug
posted this a while back.
DPG rewards are assigned, to the best of my knowledge, in a fixed arbitrary order which does not include Barbarian or prestige classes. My own multiclass experience suggests that mage is checked before rogue, and rogue before fighter. RTB has posted that his Bard 10, AA 30 gets the bow; however Roddybug has posted that Bards receive Chimes of Power. A Ranger/Bard/AA would be a good choice if it works but I'm quite certain that contrary to what RTB just posted as I write this,
my Ranger/Wiz/AA got the amulet (which iirc is nearly identical to the holiday amulet).