Lots of good options below. If an aluminum-free deodorant doesn't seem strong enough, try dusting on a bit of Gold Bond menthol foot powder after the deodorant dries. Actually does a very good job of controlling sweat and odor. (be careful not to breathe it when you put it on)

I use aluminum-free deodorant (MagSol) and still get stains. Unfortunately, this is the only non-aluminum deodorant that actually works for me. I’ve tried most other brands of non aluminum and none of them work at keeping neither sweat nor funk away all day.