I used one of these deals last month, about $1,200 for five nights all inclusive. Flights, breakfast, transfers, everything. Even spending money for hotel food, booze or massages.
www.mynewcaledonia.com.au/

You probably want to stay and sail at Anse Vata beach, which is where most of the hotels are anyway.

Anse Vata:
www.google.com.au/maps/place/Noumea,+New+Caledonia/@-22.3065035,166.4361488,2815m/data=!3m1!1e3!4m5!3m4!1s0x6c27e2693f1a32cb:0x7bf1b22af312dd00!8m2!3d-22.2558234!4d166.4505243?hl=en

November will be well windy. Trade winds are from the South East.

If you stay at Le Meridien the sexy concierge (thesexy one, you won't miss her) has a friend that rents out jet skis and boats for the day. You could drive out to a secluded islet and sail over the reef all day. We hired a 6m zodiac with a 115hp 4-stroke for about $400 for the day, including everything, and went to Amadee Lighthouse, which was cheaper than taking the big, stinky tour boat, and blow-your-hair-back-fast and so much better.

"Do you have a boat licence?"
"Yes."
"Cool! You can take your family 20km offshore in this over-powered dinghy! The island you want is about... that way."

So much cooler than Australia in that respect, but I did find the lack of navigation markers, coral reefs, and the temptations of an over-powered dinghy a slight concern.

People also hire catamarans and sail around the outer reefs and meet sharks. : \

Everything is expen$sive there, but I did find a creperie that did great salmon-type crepes for about $AU10. And a bottle shop that had great wines for about $AU15. That deal I linked to above includes spending money for inside the hotel, enough for a week of lunches, breakfast is free and buffet and awesome. Pineapple jam!

P.S. The coffee is awful everywhere. Don't even.