I think Chalices could work well. Acans would also be a great choice because they're hardy, tolerate a variety of conditions, and aren't too aggressive. I would avoid Lobos since they are known for being aggressive, and add Euphyllia with caution. I have a bunch of Favia and Acans, 2 mini Euphyllia colonies, Cyphastrea, and a handful of sps in my 12 gallon nano. The different species are grouped separately to mitigate aggression. If you plan your tank before you start adding corals, I don't see any reason why you can't keep any coral (as long as it fits) in a small tank.
LPS is honestly a perfect genre of coral to aim for in a nano because they'll tolerate a variety of conditions, and aren't super fast growers. As long as corals aren't touching, they won't kill each other. Corals of the same species can be kept in close proximity.