i have similar system to you its an ASUS P8Z77-v board with iCore 7 cpu
i also had a issue when i first tried to install Mavericks.
if its any help my issue was down to the onboard graphics and being lazy i disabled it and bought a radeon card, since then i have been tinkering i now have the onboard working and running 3 24" monitors i have full acceleration and can also airplay/mirror to Apple TV
I got the onboard working by using these boot commands:
GraphicsEnabler=Yes IGPEnabler=Yes IntelCapriFB=3
here is my org.chameleon.Boot.plist
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
<string>hd(1,1) hd(2,2) hd(3,1) hd(4,1) hd(5,1) hd(6,1)</string>
Im no Hackintosh expert but in just 2 weeks i have mange to install mavericks on 3 different laptops and 5 different PC's the latest being a Dell Vostro 200 that does not even have a ACHI option in BIOS.
There are a lot of resources and decent forums like this one around for anyone wanting to delve into the hackintosh world.
i hope some of this info helps you