Not exactly the same but a thought. I had a rattle coming from the car at low speeds on rougher roads but it was intermittent , it seemed to come from the left hand side but that's the drivers side so I couldn't be sure. Also seemed more pronounced if there was something to bounce the sound back like bushes or cement pilon (which makes sense). Turned out that it was a nut and washer from the cat cage had come off (I guess I didn't tighten it enough when I was last working on that. It was sitting on the cat cage and with right frequency would rattle. I would check exhaust fastenings as sound can bounce and it's easy to be misdirected.
- - -TR7 Spider - - - 1978 Spitfire- - - - 1976 Spitfire - - 1988 Tercel 4X4 - Kali on Integra - 1991 Integra - Yellow TCT