Asus Direct CUII is a nice card with great build quality and exceptionally good cooling with 6 copper pipes having direct contact with the GPU. The cooling features of Asus is much better then GIGABYTE.
Connectivity options on the ASUS HD 7970 Direct CU II include a single-link DVI-I port, a dual-link DVI-D port, and a quartet of full-sized DisplayPort connections. Together, the card will allow support for up to six displays in an Eyefinity 6 configuration.
Where as the GIGABYTE 7970 has two mini display port , one HDMI, and one DVI.
HD 7970 3GB Direct CU II Features:
=> All new DirectCU thermal design utilizes six all-copper heatpipes and 20% bigger dissipation area, achieving 20% cooler and 14dB quieter performance than reference
=> Acclaimed DIGI+ VRM with 12-phase Super Alloy Power technology delivers precise digital power and enhanced durability for stable overclocking
=> VGA Hotwire allows you to plug and solder wires on the card’s voltage regulators and accurately read and control Vcore, Vmem, and PLL voltages on a hardware level
=> GPU Tweak utility helps you modify and tune clock speeds, voltages, and fan performance via an intuitive interface
One card drives up to six screens with AMD Eyefinity™ 6computing experience and to do more with their PC
I would go for a Asus Direct CUII HD 7970