Its pretty simple, the vapour chamber has absolutely nothing to do with a card being quiet or not and thats your problem.
Firstly vapour chambers can IN THEORY provide faster transfer of heat, the problem is when the other end of the system is slow as crap, it doesn't matter how fast the heat gets there. Small gpu heatsink dealing with huge load and crap airflow, thats where the limit is, airflow and heatsink size, NOT the vapour chamber, its a gimmick to get you to buy something more expensive.
Thing is most vapour chamber based coolers simply have better heatsinks.
Any graphics card with a blower fan, you can basically rule out, they are louder, vent a small volume of air at a higher speed through a tiny exhaust which is usually also more than half blocked by the grill /mesh on the hole, which generates more noise.
So grab a card with "real" fans and the biggest heatsink you can, even then you have to look up reviews because, you can have the best heatsink in the world, and some idiot designer puts on a tiny, high speed, crap fan that whines on it, or a fantastic, bigger, low speed fan you can barely hear.
Anyway, aside from that, you've given no one a basic idea of what you want, a 580gtx, a 590/6990, something faster than what you have, or something slower and silent, is this for a gaming rig or another computer altogether.
Considering you're asking for others help, narrowing down the choice would help, you hate nvidia so won't consider their cards, you only want something faster would save people helping you a lot of effort.
Anyway, ignoring vapour chambers as they don't do squat,
http://www.overclockers.co.uk/showproduct.php?prodid=GX-042-HS&groupid=701&catid=56&subcat=1752
This is the card OCUK employee's seem to suggest is the quietest, while the fan seems not great compared to others, the fan is "offset" leaving a pretty huge heatsink, without using most of those myself its a hard call which would be best. Generally speaking big slow fans or huge heatsink vs stock will help dramatically, having fan control helps hugely as some custom cards don't have fan control and are setup to be uber overclocking by having the lowest temps possible, by having fans set to high speeds.
Me personally, 3rd party cooler with 2 quiet fans controlled off a fan controller, silent at idle, very very very quiet in games.