the torsional properties of a single (simple) cross section are not difficult to work up, but for any "structure" made up of simple tubes, etc. welded into an assembly, i don't imagine how you could hand calculate the structure's torsional effectiveness.
a "cheap and easy" method to evaluate a few structures would be to make a first-cut finite element model of each by using simple beam or pipe elements connected in different ways and load it.
in ANSYS, you could make these graphically on the screen in very little time, and delete and relocate elements, load it, run it and change it.....if this is linear static analysis, you could knock these out at fast nearly as you can draw.
once you settle on some credible concept structure, refine the model as desired (change beam element properties or switch them to plate elements, etc etc).
I am sure this applies to any other FE software as well.
daveleo