Glam Dresser is inadequate, even doubling it does not solve the problem.

[Deveryn]

What would alts have to do with space constraints when you can't move items between alts, anyways, without a middleman?

Company Chest

Also, if you really need to have so many looks, just have another toon to play with. it takes some work, but it's another 400 free glamour slots and 20 plates.