I don't understand why grounding the cage makes any difference at all to what is inside. Is it voltage difference across the components inside that kills them, and the faraday cage is a shield that makes a uniform voltage over it's surface.
An EMP is a different form of "electricity" from line voltage.. When it hits something, it has to have somewhere to go. Now, since it's free-floating electrons that are disorganized, they will naturally attach themselves to anything metal in an attempt to sort themselves out and to flow to the nearest ground. The issue with frying electronics is that the circuits cannot dissipate the energy fast enough, it builds up in the weaker portions, and cooks silicon.
To protect against that kind of power, you need a surface to "recieve" the energy, and a massive ground to send the now-organized energy somewhere at a rate faster than it can build up to a damaging level.
Copper fabric is the ideal affordable conductor. A wide surface area with a high conductivity collects a large amount of energy in a short amount of time. Copper conducts better than steel, especially painted or coated steel.
TO remove the energy at a high rate of speed, you need a large ground wire and a large ground. THe copper pipe array is a nice idea. To work effectively, though, you'll have to split the ground wire into equal lengths to each ground rod to provide equal "pull" and distribution.
At least, this is what makes sense to me. YMMV