Instead of using Larsen trusses, the house used vertical TJIs (I-joists) to hold enough insulation to bring the wall assembly to about R-52. The TJIs were screwed to the 2x4 studs through the exterior OSB sheathing.
Gallery of Stealth Barn / Carl Turner Architects - 4
Stealth Barn by Carl Turner Architects. Personally I find this a little too much, however it is a fine illustration of how to use available materials in keeping with good design and that industrial look we are going for.