Okay, I really have to ask, did you actually get your La Fleche from a heritage source? Last I saw and read, they're not a small breed, in fact I'd think of them to be a really good meat bird.
Small size and lack of meat usually comes from production breeding, ie - from hatcheries, which most La Fleche sadly are from.

Small size and lack of meat usually comes from production breeding, ie - from hatcheries, which most La Fleche sadly are from.