Couple other suggestions now that you have admitted standard size fowl to the equation
Buckeyes (layer lines)
Pendescencas
Both fit your requirements. With both you will sacrifice some productivity because of potential broodiness but both still produce quite well plus you get a brown egg or very dark brown egg. If that's preferable over the white that the leghorn or other Mediterranean types will produce.
Buckeyes (layer lines)
Pendescencas
Both fit your requirements. With both you will sacrifice some productivity because of potential broodiness but both still produce quite well plus you get a brown egg or very dark brown egg. If that's preferable over the white that the leghorn or other Mediterranean types will produce.