In my experience, the American Breeds, as they were once called, would suit you fine.  All were bred for conditions here on the continent where summers are hot and winters are cold.  Pretty much take your pick.  RIR, and all the derivatives of the RIR such as production reds, and red sex links. (the ISA Brown being my personal favorite, by some margin).  Any of the Plymouth Rocks, especially the good laying hatchery strains, since you mentioned good egg laying as a criteria.  Wyandottes, Delawares too. The Austrolorps were bred out of the Buff Orpington and are pretty stout and solid layers too.
The point is that most hatcheries will tell you the typical laying rates of the breeds, strains and hybrids they sell, although they "over state" a bit, imho.  Saying 5 eggs a week on some of the breeds, for example, when that wouldn't hold up over the long haul. That's "peak" laying, which is quite different, but oh, well.  Good, honest breeders would also be forthright about the laying rates of their birds.  You've really got lots of choices.  I'd push this conversation a little further along by asking whether the bird needs to be "dual purpose" or are you primarily interested in high lay rates?