I had a Dark Cornish hen, bought as a chick from McMurray hatchery, that went broody and raised chicks. I don't know how broody that breed is, because she was the only one I had, but she did a fine job.
Hatchery-quality Dark Cornish are basically dual-purpose chickens (show-quality Cornish would be much meatier, but lay fewer eggs.)
I have Hatchery Dark Brahma myself - was eager to add them to the flock because they tend to be better winter layers than many breeds, and as dual purpose go, they get bigger - bigger than most. Also, I find my dark brahma to be very alert and good free rangers, helping to protect the less alert (more "prey") members of my flock.
That's the good news.
Now the bad.
None of my five hens have gone broody. Its basically six months till you can hope one will start laying, so even free ranging, there's a lot of feed invested. When they do start laying, they still don't lay near as frequently as a comet or other bird picked specifically for that quality, and slower than many dual purpose as well. In spite of their large appearance, they don't actually weigh much in their first 6 months of life, they get big late too (again, those feed costs). Once they do get big in their second year, if you do decide to eat them, they've been free ranging for a long time - meat is lean, very flavorful, and totally unsuited to anything not closely resembling stock, stew, or sausage.
I love mine, but self-sustaining? That's a big flock, with high up front costs, significant maintenance costs, and a long horizon return on investment.
Give me a few generations, I may have something that improves a bit on a few of those factors, and if you've space and time, that may be a good pick for you - but if you are on a small plot, buying your feed, and moving a chicken tractor around? Look elsewhere.
MY Hoover Hatchery "Rainbows" (which all look a lot like Buff Orps with some NH Red in the background, or Reds with some Orp in the background) are nothing special dual purpose. Medium lay, medium development, medium weight - they aren't bad at anything, but somehow they aren't good at anything either.
Comets are a short term fix for high egg production needs. That's all. No breast meat, not enough weight to be worth removing the feathers - peel the skin entire and toss in the stock pot when they are done laying (which doesn't take long, 2-3 years is their productive span). Small birds laying large eggs, its hard on a body.
CornishX - all meat, no brain. Hands down best for fast feed conversion. Successfully breeding them is beyond most home flocks - like the Comet, they are a hybrid, and to get an exceptional bird, you need to maintain multiple breeding lines. Did I mention no brain? Even with other breeds to show them the way, they free range poorly, aren't predator alert, and waddle worse than a duck when fleeing predators.
Silver Laced Wyandotte? I have some, a lot like the Brahma in many ways, but I've not had them long enough I feel comfortable offering further insights.
So, no recommends, but some useful cautions???