DC: "Does this mean that we could tiller back and belly as long as we keep the back flattish?"
This is partly why I brought it up. YES, this is exactly what decrowning is, and it's exactly what working with a board stave means, too. Again, TBB basics. "it won't break if it isn't under a breaking strain, and you can reduce strain a lot by making things wider.
The key, of course, is to saw out a backing from a straight tree, and follow the grain perfectly. I, too have done just a bit of sanding to my backing when the limb ended up thinner than expected and I was worried about belly thickness.
gfugal: "I disagree that "too thick of a backing will overpower the belly".
Yeah, I'm saying that if your backing is going to overpower your belly, maybe your limb needs to be wider and thinner. Maybe THAT could require you to use a thinner backing, but that comes at it from the wrong end.
Badger: When I first started making bows, I must admit that I was surprised when reports (and my own experience) began to come back that vert-lam bamboo flooring didn't make a good backing. Looking at it, I was sure it would have acted like quartersawn wood, which it doesn't. Likewise, I tried a few "board" bows from flooring, and very soon discovered they needed linen cloth backs to survive much draw weight at all.
I suspect, Steve that since you use bamboo, the crown takes on the function of the trap.