I take a cup of baking soda into the shower. Just get wet, turn water off, rub it all over (hair too), rinse and go.
It does work - at least I'm a believer. I brush my teeth and also wash my clothes in it. (Hang out to dry & store in a plastic container with crushed pine needles.)
I've several times had deer downwind that did not spook with this method. I'm not saying they didn't smell me - just saying it obviously was not strong enough to raise an alarm.
Hint: use unscented deoderant, go slow and dress appropriately to minimize sweating.