I'm getting an i5 4570, the non-K version, so the Z87 wouldn't do any good.
But money is, indeed, a little problem, the GA-H87-D3H would be my budget option.
Another question, seeing some pictures of the motherboard, I noticed that the PCI Express x1, in which I got a Wireless adapter installed, is underneath and a little close to the PCI Express x16 slot, would be a problem with a Sapphire Radeon HD 5770 installed?
Thank you for the help!