Instead of thinking saving a drawing down I typically look at downgrading a survey as a two part process. One part is to export data via xml and the other is saving down the autocad drawing.
Surfaces:
You are correct in that surfaces don't transfer cleanly. I typically include the boundary as a 3dpoly line with the autocad entities to be added to the xml surface in LDD. If you do alot of edits to get the surface to look right, you may look at building it off of extracted triangles instead of xml data.
Figures:
As for the survey figures, you can export a fbk file from the figures section in the survey database. This file can then be imported in LDD to re-create the figures. Another option is to explode them to polylines and add them to LDD.
Parcels and Points:
I typically don't have problems with the xml data.
Stacy Dunn