In relation to the pump, where would the reservoir be? Pumps, by their very natue, were designed to push coolant through a cooling loop.
Their pulling characteristics are not as good.
There is a setup, with respect to radiators and fans, called a "push-pull".
In this configuration, you have a radiator with shrouds on both sides. On one side, you have a fan pushing air through the fins. On the other side, you have a corresponding fan pulling the air through. This type of setup is especially effective with dual-pass radiators as the turbulence that might slow the air down in the fins is compensated by both fans acting in unison to move the air through.
It's how I have all my rads set up in both my cooling loops in my sig.
I think a "push-pull" setup would be more efficient than the idea by the OP because the fans are sealed against the rad by shrouds, thus the air is concentrated in a focused direction. In the idea by the OP, the air is not directed into the rad as it leaves the fan but is forced in that direction. Now, you have to deal with turbulence first. Second, I am assuming that there is a divider that goes down the middle between the fans, essentially dividing the rad. The air must still travel a greater distance than in a "push-pull" and even then, the rad is not sealed with respect to the incoming air. I would think that, for this kind of design to be made as efficient as it could be, you would need to seal the system - the fans up to the rad, to create a very specific wind tunnel - almost like a makeshift shroud.