There is a mangrove jellyfish (Cassiopea andromeda) that will do well in strongly brackish water, and some species of Aiptasia and Actinia (anemones) can be acclimated to brackish water, too. So there is scope for a brackish invert tank, it would just take some doing. Mangrove jellies in particular are photosynthetic, and not especially hardy in tanks (though they can be a pest in the wild).
I've kept shore crabs (Carcinus maenas) in warm brackish water and they do astonishingly well. They are very destructive and predatory though, so choose tankmates with care. Mine seemed fine with gar and Colombian shark catfish. Of course both these species view small crabs as food...
There's a tonne of Nerites species out right now. They're marketed as "onion snails" and "batman snails" and such like. They're all algae eaters and short lived in freshwater tanks. But in brackish, they should be quite easy to keep. Cardinia spp. shrimps are brackish, too, although they live fine in freshwater (as "Amano shrimps").
I think the trick would be to choose the right species, make sure you identify them properly, and then acclimate them slowly. But given how messy things like scats are, you probably want to choose only the smaller brackish water fish, if any at all. A fun project though.
Cheers,
Neale