James Parker made one with boo back, tempered (black) boo belly with a core lam that is a very fast bow. I think you could and mulberry would be a good wood choice because it is strong, springy and physically light. I believe it was a traditional core wood for some Asiatic horn bows. I'd make the limbs wide(2") all the way out to the sayahs(sp) and add 3" to 4" of reflex, strung backwards for sinewing and curing. Sayah length could be critical as not to crush the belly. That's where the horn comes in.
There was an old PA Magazine article about a hornless horn bow years ago. You might be able to search for it.