I might be wrong but APL, puts you into Lumeire's on formal and semi-formal nights and Parrot Cay for Pirate's Night. It also gives you 2 nights, in Animators when it isn't the "show" I would do Palo on one of those nights.
Just a thought... I am looking into this myself.
Also I have heard that APL tends to have the most young kids, PLA is middle school/teenagers with family and LAP is mostly adults. Just to keep that in mind