Warm tires roll easier. Water is excellent at cooling, much better than air. But at some point air resistance is going to win.
You can hydroplane in a straight line... sometimes... briefly. But I doubt that what happened. I thought about it, but when you hit standing water it's like dropping a parachute. Not a minor loss, a major loss of propulsion.No, hydroplaning in a car is called "loosing control and crashing".
At slow speeds a lot of the water clings to the tire as it rotates, at higher speeds more water is evacuated from the tread due to centrifugal force. Combine this with the cooling effect mentioned by Qinsp and it makes sense of your observations.
Keith