underachiever
Contributor
Two things...
One, the dive boats are not a taxi service. As an individual diver, you will be able to lobby and vote if you are on a boat which decides on sites by consensus, but you will not be able to dictate unless you hire a private boat.
Two, there are no bad dives at Cozumel. When I am there, my favorite dive site is a tossup between the one we just left and the one we are headed to. It's all good.
THe OP did mention they were a family of 5 diving with a small operator. So in this case maybe the boat would be like a taxi.
Just tell the divemaster what you and your family like and let them make the call based on the weather and current conditions. Some days are better than others for different sites. Like Gordon stated. No bad dives on Cozumel.