LOL, well. Whenever I've had a heatshield issue on a car before, yeah I just pulled it off. But, like I was seeing someone say on another forum just a day before your post here, those are installed for a reason. So, while I would probably remove it, I haven't ever actually seen the one you're talking about (I never had a reason to). So I'd think it depends on what is above.
I did read your post yesterday, but I couldn't think of anything. You said you can't just pull it off. And anything that could be used to hold it up would have to withstand heat (so, not zipties). Maybe metal wire? Or, just go to town with some self-tapper screws up through it into the car? Maybe some pictures would help with the brainstorming.