re: Any different islands I should check out?

1,2,3,5,6 and 7 from your list were devastated by the hurricanes. I’d be looking at the others you listed.

Isla Mujeres is an Island I visit at least once a year. It’s that good and it’s an incredibly good value. Providenciales is exactly what you want but it’s $$$ and don’t stay at or next to Beaches Resort which is teeming with families. Cancun would be the lowest on the list for me unless you want to spend nearly all of the trip on the hotel strip or at an all-inclusive. Harbor Island and Eleuthera are high on my list. I know they’re expensive but they look fantastic. Other than St. Vincent and the Grenadines they are the next islands I want to stay on and explore. I’d also like to spend more time on Anguilla but now isn’t the time.

St. Kitts and Nevis are fantastic. The only drawback is that St. Kitts doesn’t have the best beaches. Other than that it’s fantastic and nearby Nevis has some very good beaches plus it was the Caribbean getaway for the royal family for decades.