are you my little sister?? size 4 is rough when you're trying to buy shoes for an actual adult.
My search turned up what you've found already first, and a few other thing:
these may not be what you're looking for, but come in 4.
likely even less what you're looking for, but also still available in 4.
my other thoughts are to explore international offerings, which would be a big hassle for shipping, but I know European shoes sometimes go smaller. Alternatively, if you can find size 5s that run small, and plan on wearing them with thick socks, but the one option you've found is probably better than that.