I have been on both and know the 350 very well.
Let me just state my experience:
Big fat keels are more succeptible to currents. However, like a paddle in the water, they make act as a opposing force in the wind. Also, a heavy keel increases the diplacement of the boat. Heavier boats are not pushed as easy by the wind.
All that being said, it is the current and the wind that will make the difference versus the keel type. The 350 especially is a very wide body boat that has a lot of wind area to push it around.