Actually, those are great breeds for winter laying. Black Australorps are my very tried and true winter layers. And they lay for years upon years! My oldest BA was 7 and still laying strong. I have a 6 yr old New Hampshire that is laying daily right through molt and poor nutritional status...all my other New Hamps laid through the winter as well. They might not lay daily through winter but this is something I account for and allow...every other day in slow down times is fine~and for the very old birds, every other day is fine in peak laying season. That's enough for an oldster. In peak season, everyone has to be a layer and the younger birds have to lay daily then.
Judging from where you live, you likely have winters similar to mine. I'm in Northern Indiana and the main difference may be the lake effect snows we get as we're east of Lake Michigan - just at the very end of the lake effect snow belt.
I also tried to choose breeds that are winter-hardy. How do the BAs and New Hamps do with the cold weather? Have you ever tried any Buckeyes?