Hello Biscayne!
I do believe I have experienced the same noise you are experiencing and it does sound very similar to a damper noise as you described, but it can be loud at times. I have learned how to avoid the issue by altering my driving habits and only rarely hear it because of the change.
Please read more here (a thread I started some time back):
2008 Expedition Acceleration Noise - Ford Forums - Mustang Forum, Ford Trucks and Cars
Please let me know if you get a resolution on the issue. Our dealership never had a clue as to what was happening.
TVL