I don't know about the limit to the amount of damage a weapon can deal before being repaired. While it makes sense, if you do this I would expect you to apply the rule to every one of your games, with variations on the rules depending on the metals in use.
In retrospect, Bronze isn't that great. Back in the Bronze Age, bronze was a technological marvel. Simply becuase it isn't as good as what you're used to in normal D&D doesn't mean it isn't good at all. The durability of the weapon should not effect its performance other than withstanding damage. A bronze dagger will put a hole in your neck just as easily as an iron dagger, for the same amount of time. Factor in armor, and the iron dagger has an advantage in durability.
I wouldn't apply a whole new set of rules and give yourself a headache over this. Just rule that the most advanced armor available is Breastplate and Large Shields, and you don't find weapons with bronze components much larger than a shortsword, or a spearhead. Do that, and you're set.