I would say your Sexlink might be a good choice, I've got Black Sexlinks, that have never looked back when they laid a egg, I've got Red Sexlinks who most don't look back, but I've currently got one sitting, I'm not limited to the amount of chickens I can have, so beyond affecting the nest boxes available and knocking down my egg count it's not a problem, I did have to break one of the first batch of the year.. I put her in a wire dog crate with hardware cloth on the bottom, no bedding and up off the ground by 2 inches for air flow, she broke quickly but I've heard it could take a few days to a couple of weeks.