I'd like to see if I can include a cavern dive as part of AOW.
If you do a cavern dive as one of your five AOW dives, your instructor needs to be a Cavern Instructor, and can have no more than 2 students. Also, one of the standards is:From what I saw in Mexico when I was there for full cave in August, the cenote recreational dives are a two dive thing. That seems to be the case from reading posts here. A cenote dive guide has to be minimum of an open water divemaster and must be full cave certified. There are no requirements that guides be cavern/cave instructors. A guide is going to have up to three divers total.
You would need to find an AOW instructor who was also a cenote cavern guide, who was willing to do private dives. It would not likely be cheap.
If entering a cavern, limit the dive to within the light zone and within 40 metres/130 feet from the surface, vertical and horizontal distance included.
The cenote tours I've been on/witnessed likely violate this restriction.