For deodorant: I have had very good experience with "Thai stone" style salt-based deodorants. These work simply by making your skin inhospitable to odor-causing bacteria while not causing you irritations. You need to apply it liberally (after slightly wetting the stone, I just count out 8 strokes under each arm), but a single stone will last you ... a very long time ... and it does really work for a whole day. It has no scent, per se, so you will just smell like you smell without the sulfurous bad smells caused by BO bacteria.
Soap: a bar of unscented oatmeal-based soap
For deodorant: I have had very good experience with "Thai stone" style salt-based deodorants. These work simply by making your skin inhospitable to odor-causing bacteria while not causing you irritations. You need to apply it liberally (after slightly wetting the stone, I just count out 8 strokes under each arm), but a single stone will last you ... a very long time ... and it does really work for a whole day. It has no scent, per se, so you will just smell like you smell without the sulfurous bad smells caused by BO bacteria.
Or so I gather...