I finally have a fully working GA HD 6850 Radeon card working on my hackintosh (GA Z77X-UP4 TH DSDT-free). I made some BIOS tweaks and now my GA HD6850 Radeon card is recognized. System profiler says "Radeon 6xxx series" but I think that's fixable with a kext. What I did was set the initial display from auto/IGFX to PEG and I disabled the internal graphics. I also only connected the DVI output during boot and plugged in the mini display port after boot, but not sure if that's necessary.
I did initially have issues with corrupted kexts. I installed 10.9.2 using the combo updater and verified that the graphic driver kexts for my card were not corrupted, and now everything is working well.