But still, this is part of why I go out of my way to use deodorant without anti-perspirant. The idea of aluminum bits causing the pores to swell shut doesn't sound like a good idea.

Without anti-perspirant I sweat a lot (which is not a problem) but it's the stink it causes that makes me use them. Anyone has any tips?

Shave your armpits. No, seriously, no hair means less surface area for bacteria to grow on.

I do shave them or keep them trimmed. Doesn't help much.

It's bacteria decomposing the sweat causing the smell. Try anti bacterial soap in the armpits, washing t-shirts in 60+ °C hot water, drying on the line in sun, (exposure to UV will kill bacteria

If you want an alternative to slathering chemicals, look into essential oils. Also diet is huge contributing factor, albeit a longer path to find a solution.

Thanks for your suggestion, I will check them out, but can we please not have the absurd chemical phobia here on HN?

Oils are chemicals too.

Al-free tea tree oil based rollon works for me

Also, check your washing machine for bacteria buildup (especially if you use add "softener")