If your dead set on it being a bow here is the one and only way Id do it if it where mine.
Id totally saturate that crack with Loctite Professional super glue, no others, and clamp it for a few hours. Then Id wrap 2" beyond the crack end each way with some no stretch, high strength, small diameter braid. Fishing line would work. Then Id saturate that entire wrap in the same glue. It would be ugly'ish. but it wont ever come apart.