This case from Peradon is foam lined to give the cue some extra protection. It has three sections to accommodate any cue with a mid joint and also an Extenda push-on cue extension or other push-on cue extensions.
Inside dimensions are long enough to hold a 2pc cue (mid-joint) and a Push-on Extenda cue extension. If you have a mini-butt this will also fit into the case if placed inside the grip of the push-on.
This case also has a compartment to keep some chalk and other small accessories.