I'm going to try stringing it up as is first. That seems like more of a makework project for the winter.
I agree with keeping the walls thick if you can. They are the weak spot of a Scroll style headstock.
Like T-Bone suggested, you can recess the tuner's mounting plates into the outside walls. I do that on my Walnut Scroll Bass models. And then I add aluminum plates on the outside walls, which surround the tuners and cover up their mounting plates. They give the look of classic upright bass tuners, and also add some reinforcement to the headstock.
. I was trying to seat the tuner bushings into place by giving them a little tap with a dowel, and the headstock separated from the neck, I assume due to the heel end being unsupported causing the whole thing flex at the joint. It’s a clean break and should glue up pretty seamlessly. We’ll see tomorrow.