I've crossed it several times, but at the Virginia/NC border where it is wider but slower. And I've done it in a sailboat and about 1/10th your speed. You have the right sea and wind advice already. In terms of course, I was advised to maintain the same course through the stream, then adjust for the northerly set after you come out. The idea is that you lose more time by staying longer in the stream when you try to compensate as you go through. Of course, at the speed you travel, there is probably little difference. Remember to let the hull touch the water occasionally.
Ray