You can export to OBJ format from Sweet Home 3D and import the file in Art of Illusion.
That is great news. The bad news is I cannot figure out how to do it. I tried right clicking on the furniture but there was no export. I tried looking in the File menu but there was nothing. I tried looking under the Furniture menu but did not fine an export option. I even tried taking the object, putting it by itself in a design, and exporting the 3D view to an obj format file. ArtOfIllusion gave an error when I tried opening that file.
So how can I do it?