Hi G.,
I use Melaleuca brand Body Satin deoderant. It works great. Aluminum is what keeps you from sweating so this is not an antiperspirant. You won't find an antiperspirant that doesn't have aluminum. This one does keep the odor away and sometimes when I don't shower right away in the morning it lasts a little longer than a day. I'm not a heavy sweater....
Some medical professionals believe excessively sweaty armpits are caused by on overactive nervous system. The Chinese believe it is caused by disharmony and have had success treating it with acupuncture. Overactive nervous system and disharmony could honestly be the same cause...good nutrition and chiropractic can help as well. I know you didn't ask that question but thought I'd throw you some extra info...:)
God bless!
M.