Fastening Through Continuous Insulation

The ASHRAE definition for continuous insulation is “insulation that is continuous across all structural members without thermal bridges…” This appears to eliminate attaching the insulation with continuous z-clips. OK, that makes sense, and there are other ways to adhere the insulation. The issue that keeps coming up is when we have a stucco, adhered stone or manufactured stone that requires a lath backing. Many of those companies do not want to see fasteners more than an inch or 1-1/2 inch in length, due the possibility of shear failure. We need to go through the lath, 1 or 2 inches of insulation and the sheathing to get to the stud.

Does anyone know of screws that might handle this situation, or can we possibly use non-continuous z-clips (yes they still would technically be a bridge) at 18 or 24 inches o.c.? Is this happening all over the place or am I missing something obvious? Thanks in advance for any insights.

Don,

Two sources are Cascadiawindows.com at http://www.interra-facades.com/CASCADIA%20CLIP%20-%20Full%20Brochure%20-%20Jan2012.pdf

and Knightwall at http://building.dow.com/na/en/dowknightsolutions/