I returned the neons and went with a betta.Neons really need more space than that, and the tank is fully stocked with them in it. I'd suggest replacing them with microrasboras, which would allow you to keep cherry shrimp. Neons will probably also decimate your shrimp, as they'll eat the babies and terrify/stalk/maim the adults.
Ill most likely just have the betta then at somepoint possibly at microrasboras and see if hes okay around them. If not I might go with amanos or get a few cherries to see how his temper is.I'm pretty sure that bettas hunt shrimp too.