Why do you want rings? They cannot evenly support a negative-sheet when stored vertically so I just bought a dozen archival filing boxes (the sold flat, self-build sort with stainless fittings) and stack them so that they, and the negative pages within, are horizontal. There is plenty of room for labels on the outside and dividers inside, or a heap of contact sheets, or sheet-film sleeves etc. etc.
Edit: Note, there are plenty of superficially similar boxes which are not acid-free archival quality - so make sure to find the right version!