With a timber stock you can stiffen it with epoxy resin and fiberglass cloth, E glass is the cheapest S glass is better and carbon fibre would be best.
S glass would be see through for those who like to look at the grain of timber
The other benefit is you can seal the wood to make it waterproof which means the timber will not expand and contract with humidity. You really should use epoxy resin with wood avoid polyester.
Carbon fibre would be cheap in the small amount required this company would probably even send small amounts in the mail.
https://allnex-coomera.business.site/