Thanks a million toleda! You were right on with your directions to remove the HDAEnabler and EFI injection. I now have a 99.9% functional Hackintosh! I've attached my final DSDT and IOReg. Thanks again!
OK-- so although I am really new to this, I realized:
1. Even though otherwise I wouldn't need a DSDT, only for HDMI-Audio one would need a DSDT.
2. In order to use one for the Z77 chips (specifically, my GA-Z77-DS3H with i7-3770) I could extract a DSDT from my existing working system, edit in the HDEF stuff, and then load my system with that DSDT.
3. I used DSDT Editor in order to extract my DSDT, but the one I freshly extracted had two erros and some warnings. That was bogus to me, but it might have been because I was using HDAEnabler888b.kext. I removed HDAEnabler888b.kext and then figured, since jziggy618 already has the same mobo like me, I could just use HIS DSDT since he provided one. So I just loaded his DSDT in my editor, compiled it, no errors, installed it (meaning put it in /Extra/).
4. Before rebooting, I ran Multibeast 5.0.2 (previously I had everything working with 4.6.2), I selected my UserDSDT, Drivers & Bootloaders -> Drivers -> Audio -> Realtek ALC8xx -> With DSDT -> ALC888b/887 -> v100302 Current -> "This patched AppleHDA.kext is for the newest version of the Realtek ALC888b/887 found on recent motherboards." I also selected my ethernet card: "maolj's AtherosL1cEthernet" and the Chimera 1.11.1 bootloader (I think I had 1.11 before that came with Multibeast 4.6.2).
I then rebooted, and low-and behold everything was working properly (as it did before) and ALSO the HDMI-Audio is now working (I connected the HDMI port to my Optoma HD66 and the DVI port to my Asus monitor). Just to test it out, I connected my headphones to the audio-out on the projector. The audio was working properly, but the sound quality was not so good. I'm assuming this either because the projector doesn't have such a good audio processor or one shouldn't connect headphones to this jack?
There are just two outstanding issues right now for my audio:
1. The mute button doesn't work (for the normal "Internal Speakers" port). It actually never has. Not such a major problem, but I was wondering if a fix exists?
2. The line-out port, the blue port on my motherboard I supposed (as opposed to "Internal Speakers", which I interpret as the green port on my motherboard) shows up in System Preferences, but nothing actually comes out of it when I connect the speakers to it.
Also I have a question, there *IS* a digital-out port in system preferences, and also on the Gigabyte website it's promised that Digital Out is possible with an additional Audio Front Panel. So my question is, where exactly would I connect that to? I already connected the audio front panel cable that came with the case to the motherboard's audio port, but this thing only has a "headphones jack" (which works by the way, it seems to be an EITHER OR option for the internal speakers which Mac OS X automatically switches to the headphones once they are connected) and a microphone jack I supposed (though I never tested if it works). How do I setup this digital out? Do I have to buy an extra front panel audio header? If I do, will I have to give up my case's built in headphone and microphone jacks?
Thanks toleda (and also jziggy618)! It's really cool that now _everything_ is working.