MakerBot Print is our newest print-prepration software, which supports native CAD files and STL assemblies,
allows you to interact with all your printers via the Cloud, and many other exciting new features.
Do you think you could cut the parts at their back bone supports or provide the solids file? Given the geometry of the shade you could split it just at the support backbone "strands" and make a dowel alignment connection at each level. This would reduce the number of print failures, as well, allow users to really scale this thing up.
I'm currently editing the stl file, but im terrible at meshmixer.