Actually, that case fits two full length cards, or at least full-length the year it was built. The power supply is on the bottom, on the "CPU side" of the motherboard (the motherboard ports stick out the top), so you get the full motherboard length, plus the power supply height, plus a bit extra. It leads to a pretty dense, but well laid out install. There is a diagonally mounted 120mm fan that does nothing and has to be removed, if I remember right.
Crucially, convection (with help from fans) means the cards are pulling cooler air than in normal cases (at least in theory -- in practice, it is very quiet with one GPU).
I can't recommend it due to the lack of screws / latches on the side panels, but the general layout and airflow is great, and could easily be adapted for a different model with support for longer cards or even three way GPUs.
Current generation AMD cards have stock water coolers that are similar to what you asked for, but apparently third party air coolers are cooler/quieter. (I don't remember if the case I linked has water cooler mounts. I doubt it.)