I have the described laptop and would like to offer my help to the community in its effort to develop support for switchable graphics in Linux. Presently, I am using the integrated Intel Graphics card. It would be nice to see the discrete ATI 6770M supported too.
I can help with testing of any new modules being developed. If any member of teams working on Linux graphics is reading this, I would be keen to know about any ongoing project that is working to support switchable graphics.