I would suggest pasting spegetti together to form a tube, and useing that as the basic building block. a triangle is the most stable shape, but a tube is the best for compresion. It will also alow for a little bit of tork. hollow of course, but yeah that should be your main supports if nothing else.
any glue should work, i wonder if you can use hot glue, and if that would work?
*edit also think about a arch, if you were to build an arch, the piece at the top is the "keystone", it couses all of the other pieces to remain in place, and distributes the weight evenly, that would be a good way to design it.