I was hoping to get some advice from those talented intarsia-ists who live here

On the dolphin intarsia that I posted, I had glued it up to a 1/8" piece of plywood. The problem is that I have another 1/8" cherry shim that I'm using to push the front dolphin out to give it some overall depth, so it sticks out 1/4" or so and you can see the backing from an angle. How do you handle this problem??? I did cut the backing shy of the actual perimeter, but it is still showing and I need to have something back there supporting it....
tia...
Chris