Hello and welcome.
First off, a quick ebay search turns up quite a lot of Almay hypoallergenic cologne. Is that the one you meant? I searched for "Almay perfume." You can find it pretty cheap.
Second, I don't know what Almay smelled like, so it's hard to know what to suggest. But I'm tempted to say you might like to try some iris fragrances, as they tend to be powdery, clean, and almost cosmetic-y if that makes any sense.
Top suggestion would be Infusion d'Iris by Prada. The Eau de Toilette is very light, translucent, pretty, and not at all flowery. Would also suggest Chanel 19 Poudre, which is very green with a big iris note. And this may sound odd, but also try Dior Homme (just the regular, not the Sport or the Intense).