I'll suggest a different, but tried and true approach: layers.

Spend $20 or $25 on a pair of merino wool glove liners. Wear them under your choice of Sealskin waterproof gloves, latex ones like the doctor has, or the cheap rubber gloves they sell at the grocery store for washing dishes. The wool gives you warmth and comfort, and wicks your sweat away, while the outer layer shields you from the wind and the water. If it's not terribly windy, I find that the merino glove liners work just fine by themselves.