Mustang

It does sound like some thing got damaged. A second or third inspection should provide you a detailed written description of the problem that you can take to the first shop although many shops are reluctant to "tattle" on their competitors. You might need to visit a body shop too. They are good at locating and estimating structural damage.

When it comes to an elusive noise, there is a tool called the "Chassis Ear" that is real helpful. It is a set of six microphones that are attached to suspect points, then you drive while listening with head phones and switching between them. By moving the microphones around, you can zero in on the source of the noise. Be aware that many mechanics have never seen or even heard of this tool. Most new car dealerships have them but they rarely get used.