Thinking more about this thread after I posted it, maybe the 1180BCE date also makes sense - like maybe a few decades after the bronze-age-collapse-era-Greeks finished sacking their own cities, they decided to do a big coalition war on somebody else's city?
If we want to keep with a bronze age war then I think 1300BCE might be slightly more feasible (maybe the city was just captured and not destroyed), but again it's all kind of guesswork here.

