The contact information for the cata-jets is tahiti.catajet@mail.pf
Here is the email I received from them:

hello!!
thank you for your 2 emails....we apologize not answering so fast but we are really busy....
You just have to send me an email 2 days before your arrival with Paul Gauguin cruise boat...the pick up is free...that mean that we will be there waiting for you...we have 2 tours in a day...
One is at 9H00 in the morning and the other one is at 2 in the afternoon...pich up is done 30 mn before departure of tours close the tenders dock....
Just be sure that catajet is definitely the best tour on the island...driving the boat,snorkeling,feeding rays....6 people maximum....
If you need more informations send me an email....
GREG
CATAJET

I originally found there web address from the Moorea Intercontinental web site.
The other contact I have found was the Moorea Hotel Hibiscus at mail@hotel-hibiscus.pf :

DEAR lIsa ,
YEs we have cata jet trip , price is 6500 fcp by pers , during 2 hours , you drive the catajet and you have guide on another machine , you go to oponohu bay , and after you stop on the sting rays spot and you swim with rays and one juice drink .
you need to book before for sure place available .
You can book by e mail and I Will need your credit card number only for confirmation .
If you want to book , please let me know .
BEst ragards
Nathalie .

Freddie, I will plead ignorance as to there environmental friendliness, but there sure do look like a blast.