I think you're in Cornish Cross or turkey range there.Just a bird I can dress out and have 5-7 lb of meat. I’m not sure what the Cornish x are when they are butchered.
If you want 5-7 pounds of boneless meat, you definitely need turkeys.
If you want 5-7 pounds as dressed weight (meat & bones but no guts or feathers), you probably need Cornish Cross.
Chickens grow fastest, and convert feed to meat most efficiently, when they are young. That is why Cornish Cross are raised for only 2 months of so.
Some breeds of chickens can provide that much dressed weight as adults, but they often spend a year or more doing it. That means they need space and care for that whole time, they eat food for the whole time, and the meat is tougher because they are older (certainly edible, but you have to cook it differently. It is not suitable for making fried chicken.)