Comment 18 for bug 130559

The module for the hda (snd-hda-intel) has an option called model that allows you to specify a model name. The model name alters what ports are enabled and how they work on the board. If you can find the right model to give the module, the module source can be patched to fix the issue. Unfortunately, you have to pour through the module's source code and find the different models.

$ modinfo snd-hda-intel
...
parm: model:Use the given board model. (charp)
...

There was a developer on the #alsa irc channel on Freenode that helped me with a similar issue. He even submitted the patch after tracking down the issue. He worked at a university in Europe, I think. Maybe you should go to #alsa and see if anyone can help you find the proper model and help you get a patch.