Good luck on your search!
Just keep in mind that sweating is one of the ways the body gets rid of toxins, so at home, maybe just let her sweat it out!
I actually don't use deodorant/antiperspirant very much anymore. I make up a small bit of mixture that I treat my underarms with - I usually shower every day - and no one (not even my very blunt 17 yr old daughter) has commented on any smell (body odor).
Anyway, the mixture is witch hazel plus a tiny amount of epsom salts. Sometimes I put a drop of tea tree oil or lavender oil in it. I tear a cotton ball in half, wet it, and apply it to my underarms.
It isn't really anything designed to take care of the sweating, but it does a nice job on controlling the day's odor! I'm at an age where I don't sweat as much anymore. Or maybe it's just that I'm home a lot?
I know this isn't really what you asked for - oh well!
Again, good luck!