Cenote Garden of Eden - lots of cenote fish (sailfin molly)
Cenote Taj Mahal - stunning rays of light beaming down into the dark cavern zone (any "rays of light" sites are time of year-dependent as it will change with the timing and angle of sun overhead)
Cenote Pit - rays of light
Cenote Pet Cemetary - bones
Cenote Angelita - layer of hydrogen sulfide penetrated by fallen trees
Cenote Car Wash - half the year has a dense green algal bloom across the top, lily pads, lovely big cavern entrance
The number of dive sites and photographic opportunities are much greater than that listed above. Cenote Dos Ojos is probably one of the most popular cavern tours but I haven't mentioned it mainly because I think it's a bit too chaotic and they charge for camera access. But it's a zoo for a reason - it's a great dive!
If you dive with an operator from the Cancun area, then I would think you are quite likely to go to places like Chac Mool, Eden, Taj Mahal and Chiken-Ha because they are closest. If you were to select an operator in Tulum then I think you would have a greater chance of visiting Grand Cenote, Temple of Doom and Angelita due to proximity.
I should qualify that I'm a cave diver, so my time in the Riviera Maya is spent doing self-guided cave diving, not doing cavern tours.
This page on my website has cenote-style photos from Angelita and Grand Cenote to give you an idea of photo opportunities:
Many thanks for sharing this information Liz. I haven't had the misfortune to burn out an Inon Z240 yet but having read your stories I have been cautious about the combination of shooting on high power, warm water and multiple firings.
Good to know there is a possible solution if it happens.