Yes, we did fix it. We had a get together in wisconsin a year ago, and the GT guys figured out, in my case the cross braces bolted to the rear bulk head were the source.
Just loosen the bolts, adjust the supports so they didn't rub anywhere, and re-tighten. It seemed like there was a small amount of weld spatter at the joint that would cause the noise when the chassis flexed. Move the bar way from the interference and problem solved.
Sounds like you shaking the cross brace could be similar, but my noise was high in the chassis near the glass. If you can reproduce it you're half way there.
good Luck,
Dan