I'd like to know, too. My cowash is wonderful, but it has glycerin, even though that's never had harmful effects on my hair and is far down the list. My conditioner is great too, but it has both protein and shea butter...
I entered your criteria, though, into the product finder and got this:
Garnier Fructis Pure Clean Fortifying Conditioner - NaturallyCurly.com
It got great reviews on this website, but it didn't get such good reviews on other sites.
Garnier Pure-Clean reviews - Makeupalley
As you can see, MakeUpAlley didn't really care for it.
That's the only condish I could fine, though :/
However, I'm sensitive to aloe as well, but when it's low on the list, it doesn't really affect my hair.