I don't think aerodynamics come into play at all with hydroplaning. If they are, you're driving too fast! :L
Hydroplaning is the result of tires floating on the water or meeting water resistance and this happens when the tread is not able to travel the water out from under the tire fast enough. Wide tires, low tread depth or bad tread pattern, a light weight car and excess water on the roadway are going to predispose it to 'floating' on the water.
If I must drive in the rain I drive slower and watch the cars ahead of me to see how much water they are driving through so I'll know if I need to slow down more before hitting a low spot in the road.