Soldato
I'd agree, I'm going back there next month for my anniversary (10 years since our last visit for our honeymoon). 10 nights all inclusive at the Sugar Beach Resort... The hotel is stunning and the beaches are amazing! The cost for me and the wife was just over 6k.
There are other options though and you could probably find somewhere within the 8k budget for yourself and the family.
Enjoy!
For the OP, I know it's only a small place but it is beautiful, has a "rain forrest", "volcanoes" and plenty of diversity. Also Creole is a good shout if already French speakers. I found it perfect for my teenager when we went, especially if they are keen on not going full Bear Grylls (which they never are ).