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OK so I went through all of OcUK's cards and looked them up on http://www.coolingconfigurator.com/.
Gigabyte, KFA2 and MSI cards have no blocks available. However the others all have blocks
Asus has it's own specific DCUII block:
http://www.coolingconfigurator.com/step1_complist?gpu_gpus=1322
Palit shares it's PCB design with Gainward and EK have made a block for them both:
http://www.coolingconfigurator.com/step1_complist?gpu_gpus=1055
Inno3D uses the reference 770 board under that huge cooler:
http://www.coolingconfigurator.com/step1_complist?gpu_gpus=1146
Zotac use a reference GTX 680 design for their AMP! card:
http://www.coolingconfigurator.com/step1_complist?gpu_gpus=1158
You might want to pair your pal's 770 with another of the same design (reference 770 with reference 770, DCUII with DCUII etc.)
No problem, cooling configurator is great and I used it so much for my build that I bought a bunch of EK stuff to "give back" for it. Fortunately EK blocks are the best for stupid overclocking on my card which I only just found out about.