If it were me I would proceed like this:
1) design these to be bendy handle D-bows. Black Walnut has a Specific Gravity of about .55, which is a little on the light side. You'll want as much working limb as possible at 50# and only 1.5" wide.
2) 1/8" thick and full width hickory may be a bit too much for the walnut belly. I see two simple options: A ) sand/plane the backing down to about 1/16" - 3/32" thick, OR B ) trap the back. Option B would be a lot easier and would be my first option.
Now, consider that I haven't made any black walnut bows (yet, have a couple of boards just waiting to get bent) but I have worked with hickory backed maple and maple backed cherry.
Get the thickness taper correct from the very beginning, before bending the wood at all, and keep the tiller spot on throughout the whole tillering process and you should be good. Best of luck and keep us informed!