2mm marine plywood or 3mm cedar strip with 6 oz carbon cloth on the outside and 6 oz kevlar 49 on the inside, Epoxy hand lay-up
I think you have this backwards- kevlar on the outside and carbon on the inside. Otherwise the carbon is doing ALL the work as it's the stiffest of the three.
With a Kevlar/Wood/Carbon layup, the kevlar distributes the load to the wood, which in turn distributes the load to the carbon.
With the Carbon/Wood/Kevlar layup, the carbon takes all the load and the wood only absorbs load when the carbon cracks.