Hello, you have probably tried this one but pure coconut oil is meant to be an excellent alternative to deodorant due to it containing lauric acid and no nasty chemicals at all. I've considered it myself I must admit as I do use regular anti perspirant deodorants but I'm convinced in some strange way they make you sweat more?!
http://www.lucybee.co/coconut-oil/lucy-bee-coconut-oil-benefits/
and here is something from the RMS beauty website - the raw coconut cream they sell is certified organic coconut oil
Apply a minimal amount and work cream gently into the skin. Remove with a soft cloth. Use as a body moisturizer to soften dry elbows, knees, shoulders – anywhere you have skin! Allow coconut oil to absorb before dressing.
Also works as a deodorant: Simply apply to clean, dry underarms. Excellent as a hair treatment and can even be taken internally.
Avoid using rms beauty raw coconut cream under makeup as it will cause skin to look very shiny.
Please note: It's normal for your rms beauty coconut cream to liquefy at approximately 80-90 degrees. This will have no negative effect on its quality. During warmer months, the coconut oil will typically remain in liquefied oil until room temperatures drop below the 80s, which will then cause it to solidify once more. You can use it in oil form or refrigerate if desired to keep it in its solid form.