Sounds like you'd benefit from one of those large keyrings.
They open up at a single point, so in the morning you can see which one you want, move the entire circle of chokers around so that one is next to the opening, open it up, and grab the choker.
Also, no installation to the walls.
The carabineers would function similar to a keychain, and you can use multiple carabineers to enforce organization.