Hi Pete,
For 3D printing you can use any slicer to create gcode from your STL export.
As for working on it in 3D afterwards with a bigger screen size, I’d recommend Fusion 360 or Solidworks (or basically any CAD, as we are compatible with all of them through STEP, IGES, XT, DXF,DWG,OBJ,STL). This said, you can design all that in Shapr3D as well