If it right down the middle and does not run off the side in a working area, you have a chance.
I would fill it with an epoxy/sawdust putty and then wrap it with epoxy soaked serving thread. You have to get it really close to final dimensions though since you won't have the ability to remove wood after you wrap it.
But be realistic about your expectations. That big of a crack is usually a fatal flaw. Try and make a shooter out of it but my experience is that they don't last long even with a much smaller check in them.
Black locust like to be rectangular in cross section and flat. A stave from a 2" tree is definitely a challenge. Small trees are notorious for checking during drying so handling is critical. If I were making a bow from that tree, I would cut it and take it down to near bow dimensions all at the same time. It is really important that you get the thickness down to around 5/8" for the entire stave, except at the handle. I would also decrown the back and make it a rectangular cross section. After doing this all in one sitting, I would coat it with several coats of shellac. I would then strap it (strong packing tape works well) to a 2x6 that I had cut to a gentle reflex. Then I would put it in a moist, cool area for a couple months after which I would gradually bring it to less moist areas, like in a heated house. After a couple more months, it should be ready to to work. If not, put it i n your attic during the summer and it'll dry in a couple weeks.