I have overclocked my 4770k to 4.4 and 4.5 successfully on my Gigabyte GA-Z87X-UD3H.
The GA-Z87X-D3H is very similar and uses the same heatsink and cpu power design.
I've built on that mobo also but used a non k 4670.
Excellent bios and easy to use.
And I agree with ACTechy the CM Hyper 212 EVO is great,i used that on the GA-Z87X-D3H /4670 build.