I would pick up an MSI HD3450 for $35, Free shipping, + $10 MIR.
You are kind of limited on the AMD side for motherboards that do 5.1 via HDMI with the IGP.
The Geforce 8000 boards do though. But the cheapest you are getting away with that is This Zotac GF8200 $55 w/$20 MIR + Shipping.
So the dedicated card is a better choice.
Though, why not look into a better sound card instead?
They can be quite expensive, but I think they can be well worth it. The quality compared to the ATi or nVidia solution is much better, and you can transfer it over to any other rig in the future.
You are kind of limited on the AMD side for motherboards that do 5.1 via HDMI with the IGP.
The Geforce 8000 boards do though. But the cheapest you are getting away with that is This Zotac GF8200 $55 w/$20 MIR + Shipping.
So the dedicated card is a better choice.
Though, why not look into a better sound card instead?
They can be quite expensive, but I think they can be well worth it. The quality compared to the ATi or nVidia solution is much better, and you can transfer it over to any other rig in the future.