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.

Any reason why you would avoid places damaged by Hurricanes?

Every island is different. Some are back up and running, some have some areas hospitable, some still devastated, but "open for business" Think of it as doing good. Plus can probably get some great rates on properties via villa rental or VRBO as many are laying fallow.

Roatan, off Honduras. Especially if you like diving.

ETA: VABuckeye beat me to it. I would definitely look into it if I were you.

Just got back from Ambergris Caye. Loved it. If you dive, check it out. Sounds like you could use some more western Carib islands.

Update: booked a house on Hoopers Bay on Exuma. Looks to be a good location. The Bay is sheltered a bit and it’s close to boat rentals and some restaurants.

Will certainly be a bit more of a “do it yourself” type trip. But having the extra space and privacy will be nice.

I’ll take any other Exuma spec recos