> I wonder if there would be a way to make a Rebuild command for surfaces like there is for curves.

It might be easier to edit the number of control points or edit the points in the original edge curves before re-Meshing.

Michael,
Here is the same sink done in ONE MESH action. I'm amazed!
I took the profile shapes and added profile rings to allow the Mesh function to follow along.
So the path follows from one drain ring, around the sink, and back to the bottom drain ring.

I now have a seamless solid shape with (nearly) perfect surface contours.
Thanks for the insight!

Mike

(Framework on left consisting of open shaped vertical profiles and closed rings to follow them. Single Mesh result on right)