In my experience, neither of those are more docile breeds. They are generally more aggressive, as has been the experience and research I've seen as well.
If you want docile layers, then a Buckeye, Favorelle, Cochin, New Hampshire (if good line), Red Sex Links (generally), Black Sex Links (generally), Barred Rocks (curious and inquisitive) ...though BR roosters can be aggressive as well.
Barnevelders are very nice...their roosters are known for being more gentle (which has been shown in my experience as well).
Of course there are temperament variances in any breed line as well as differences from behavioral reinforcements.
Henderson's breed chart is fairly accurate...it shows, as in my experience, that Australorps of the two are more docile, but RIR, while good farm chickens, can be aggressive, especially roosters.
http://www.sagehenfarmlodi.com/chooks/chooks.html#r
That isn't a bad thing in your neck of the woods. You actually want less friendly and more aggressive birds in large field free range. It really helps protect them from predators...but it does not make them "pets" per se. That is a harder balance to perfect.
Good luck with your flock.