Hmmm I'm not too sure about shrimp in a bowl, I imagine it depends on the shrimp breed you want to keep and their needs.
I considered shrimp in my snail tank, which is 21 litres and I believe they would be fine in there.
I don't know a huge amount about shrimp as I decided not to bother with them for now (Lucky is enough work at the moment with this blasted ammonia), but I do know that they need to have very good water quality as well as a soft filter, they don't like currents very much and they may also need a heater (I can't remember if they did or didn't). I considered the idea of a sponge filter, but I'll admit I didn't do very much research, so I'm afraid I can't help you much there.
When you say Brigg snails, do you mean Apple snails? I have never heard of Brigg snails.
If the Nerites have spikes, then they are probably Horned Nerite snails, not too sure on the compatibility though!
As for me, I've been having a battle with ammonia (again) and being rather surprised at how much algae and elodea can grow! The Elodea I brought has grown so much, it's impossible for Lucky to eat it all!
So currently she has a feast everyday of nibbling on elodea and munching away at the algae