Linking solution cell to Model cell would be the way to do it. I had submitted defect reports in the past on the beam cross section orientation changing between geometry, mesh, and postprocessing. Some were determined to just be display issues, and others the beam orientation was not able to be determined.
Exporting through STL would not be an option because it does not contain beam orientation. Since we can only set up beam cross section and orientation in DesignModeler, SpaceClaim, and APDL those would be the only formats you could go through if you wanted to export. Try a command snippet like this under Solution:
/post1
set,last
allsel
upcoord, 1
cdwr,db,defmodel,cdb
Then connect an "External Model" to a static structural and read the defmodel.cdb (in solution directory) to the "External Model" system.