Wow, I did a little experiment this morning I wanted to show. I think it really explains what I'm trying to do. I adjusted my control points to make the hex shapes more apparent, because previously they were too smooth. You can see the value of getting the normals right across the triangle. I would sure hate to lose that in the quest for continuous normals!
EDIT: I know exactly what to do. I'll report back when I have a chance to implement it.