I'm not saying there is no way the curly maple won't work, but even if thin, it will still be taking all the tension, on the back, and is a weak link. It has the potential for the maple to "pop" like a on a really thin ringed tree stave. The hickory underneath might save it from a break, but it also might continue the break into the hickory. If you want a durable bow, I would leave it out.
3/16" hickory is also a little thick, for a backing if you are making a wide limbed flatbow, in a 40-70lbs bow. I'd go 1/8".
I'd swap out the curly maple, use a strip 1/16"-1/8" of a core wood to sandwich between the back and belly. Walnut or some other contrasting wood looks good.