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Well, Easter Egger isn't a breed, but rather a general description of mutts that lay colored eggs, so you don't really ever know what you'll be getting with an EE.  May be cold tolerant, may not be; may be a good broody, may not be; may grow big for meat, may not.  My two year-old EE is the hen in my flock that is least tolerant of confinement and the quickest to run from human contact, she's also amongst the smallest.
In answer to the question about placing fertile eggs under a broody hen, yes you can do that, lots of people do with success.  
I've had hens off and on for about seven years, sometimes I have had a rooster, sometimes not, and I have never had a broody hen.  I'm quite jealous of those who complain about their hens going broody all the time -- I would love to have a natural hatch.
Okay well that might rule out the EE.  I really must have birds that do well in cold, and will do well when confined.  I was hoping those birds would also have some nice egg colors. Maybe I can find a nice dark chocolate egg layer that does well in cold and confinement.  Gosh that sounds like a real party for the chickens...cold confinement...
I don't mind if my egg layers are not broody.  I basically want most of my birds to be good dual purpose birds (so roosters can go to freezer) with one or two birds that can hatch eggs for me, because I really don't want to get an incubator.    I would just buy hatching eggs to put under broody hen if she does go broody.  I'm thinking about the BO or Cochin now because I'm concerned that the silkie might not be able to cover enough eggs.  I guess if I had two silkies, I could split the eggs I buy to hatch between them if I wait till they are both broody.  
I'm sure the chickens will behave just as I want them too right??