Certainly sounds like bass impact driving sympathetic rattling in something, somewhere. Not distortion or clipping.
Listening here on a single channel headphone. Might be able to tell more in stereo if the noise is localizable in its pan position. I'd half expect it to be panned strongly to one side or the other if it was the mic mounting, from one side being looser than the other or whatever, but who knows. Might be the fill monitor rattling against the stage, or exciting something near it, but could be a lot of things. Likely not caused by your recording rig, but hard to rule that out entirely.