That sounds about right.
When I heard that noise before, it was the metal debris cover plate was bending towards the rotor and it turn was running against it for some odd reason. So, I bent it back.
The second time I heard it was because the rotors were warped and I have to get new ones.
Or the brake pads have some dirt between the pad and the rotor.
I know what you are talking about, because I get it sometimes. Lots of AutoX-ing and you will get tons of weird noises after running. lol.