Rust is caused by humidity in the air, and temperature changes that condense the water from the air upon the tools. Chests help with this as it moderates the temp swings, and also controls the humid air flow.
You can also get some bulk desiccant on Amazon (used for drying flowers) to put in cloth sacks that will absorb the humidity in the chest; or a "Goldenrod" device (used for gun safes) that you plug in. https://www.amazon.com/GoldenRod-Original-Dehumidifier-12-Inch-725721/dp/B00D1WYXR0/ref=sr_1_5?crid=2ABEHO17IIU2N&dchild=1&keywords=goldenrod+dehumidifier+for+gun+safe&qid=1628017385&sprefix=goldenrod%2Caps%2C211&sr=8-5
I don't have those extreme humid conditions, so I just have a bottle of Camellia oil and wipe them down after use. https://www.amazon.com/KUROBARA-Tsubaki-Japanese-Maintenance-Camellia/dp/B001TPFVHC/ref=asc_df_B001TPFVHC/?tag=hyprod-20&linkCode=df0&hvadid=198077680239&hvpos=&hvnetw=g&hvrand=17339704598038884629&hvpone=&hvptwo=&hvqmt=&hvdev=c&hvdvcmdl=&hvlocint=&hvlocphy=9004009&hvtargid=pla-393479394943&psc=1
I bought japanese camellia oil for tools. It works great.
Yup. The stuff they sell as "cosmetic" camellia oil has impurities, etc., that cause gummy residue. i got this bottle and it's lasted many years already: