There are more differences between Z class and H class motherboards than overclocking capability.
- Higher quality components: VRM, heatsinks, and onboard sound
- Presence of high end features (eg. ASUS Fan Xpert2)
- Overclocking support, like ASUS AI Suite III and ASUS UEFI auto settings, may not be present on H class motherboards
H87 motherboards can be considered, but its not the be all end all solution to overclocking motherboard selection.
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By the way, Z class chipsets are only slightly more expensive than the H chipset.
Z77 MSRP (retail) $48
H77 MSRP (retail) $43
The remainder of the cost difference between Z class and H class motherboards are a result of increased motherboard quality and features.