Any backing and belly combination needs to take the qualities of each material into consideration, and change the ratios of thickness of both, bow length and bow width.
For strong backings likely to overpower the belly: make the backings thinner, and make the bow wider, and thinner or longer (so as to strain the belly less). Wider bows have more mass, so shift the most bending limb portions towards the handle (pyramid designs for example), so the mass is placed most where it has least negative effects.
Hickory is good enough in compression at very low moisture levels (5%). Toasting the belly will help (as heat-treatment reduces the equilibrium MC).
Bamboo-backed hickory bows can be exceptionally good, if designed very well. See for example Traditional bowyer's bible vol 3, chapter on "bows of the world". Plenty of examples there, and concrete suggestions as for ratios of different types of backing to core/belly wood.