Wood & rusting tools depends on the wood.
Do not use Oak, as it will cause rust. I was either told of, or read about this.
All of my 60+ drawers are made from common or garden pine, with little or no form of protective coating to bright bare metal.
Six + years and no new rust has appeared, other than what was already present on the tools, and that was given a rub over with the usual oily rag.
This in a fully insulated single garage, where previous to this, rust was a problem.
I even bought a dehumidifier, but have never used it, or felt the need to either.
Geoff – TeNS on my thumb.