I've been using a stainless steel "deoderant stick" [1] (it's just metal, no chemicals) for several years in the shower and its greatly reduced the amount of normal deodorant I use. The steel does a good job of eliminating odors. I only supplement with a dry-stick deodorant if I know I'm going to be getting hot and sweaty - most days at the office I skip it. Saves a lot of money too, since one of these will last you a whole lifetime most likely.
[1] https://www.amazon.com/Odor-Works-Natural-Deodorant-Alternat...