Pheasant hybrids seem to keep the pheasant's beak shape. And "To our knowledge, hybridization by reverse crosses (female chickens × male quails) has never been successful." Via:
https://www.nature.com/articles/sre...ver hybridize,by artificial insemination32,33.
https://www.nature.com/articles/sre...ver hybridize,by artificial insemination32,33.