Nite man.
to my best knoledge, and I might be mistaken here, DVI is not able to transfer any kind of audio, and the adaptor would not help in this case.
Your only bet would be a real HDMI connector on the mobo which is physicaly able to transmit audio provided the driver supports it.
Again I might be mistaken here, so it might be a good idea to double check before investing in this board.
Itsik