Ah yes, the tomtoc was a recommendation to replace the sling entirely

I have a Lacdo for my iPad Mini, it doesn't get much smaller than that unfortunately, assuming you want some padding.

Maybe this is slightly slimmer? I imagine it's slightly slimmer than the Lacdo, but is it worth spending that much to find out? Eh doubt it

Otherwise you'll have to settle for those unpadded leather flap things