It sounds like sheet metal. However; I would say that motor mount would be the number one suspect from those symptoms because it seems to have been a VERY COMMONLY reported failure in the past. The rubber ages out just like tires, except faster, I think, with the addition to 8 liters of engine heat. The next most suspect; at almost the same suspicion level would be a loose exhaust piping connection. I used "the best" clamps for the slip joints on my aftermarket High Flow Cats' outputs and one side, I could never get to stay tightly clamped until I spot welded it. Just one spot. (2002 GTS) Actually, it is likely to be a combination of both issues. Include the transmission mount as something to renew if you do motor mounts.