Well, the 120mm fan from a PSU in the p182, wether you flip the PSU upside down or not, only has roughly an inch of clearance between the 'chamberwalls'. I thought/think that because there isn't much clearance, there might be more turbulence and/or not enough cool air to draw inside the PSU. Besides that, since the fan is drawing air from up or beneath, and the middle fan in the p182 blows air 'straight' into the PSU, things might get mixed up as well. An 80mm fan would receive the air from the middle fan in the p182, and give it another 'boost'?
And since you're not to familiar with the p182, flipping the mobo might work, but if you've got a qaulity PSU you can reroute any if not all cables behind the motherboard, and bring them up almost exactly where you need to plug them in. So you won't have any cables impeding airflow. You can allready install a fan in the middle HD bay, below the optical drives, that could supply the CPU/GPU with fresh air. The way you suggested it does sound interesting though, since heat does rise, and if everything is orientated upwards that should help things a little as well. It be really weird for the backpanel though ?