I have 6 days to travel including two travel days. I'm thinking Anguilla. My sister wants St. Bart's. Is that crazy to do both? We are used to packing and switching and moving but is it worth it? (I know only we can judge but logistically, is it worth it?) My 8 year old son will be with us as well. He just wants to play in the sand. We will not be scuba diving and may do some snorkeling. maybe.

I think St. Bart's sounds too expensive/ritzy with my wild child. We are more relaxed. My sister wants to shop probably. We do not.

Is 24 hours in St Bart's doable? and then on to Anguilla?

Yes it is doable in 24 hours. Check Anguilla Air Services for flights. Rent a car for the day in St Barths and tour the island, have lunch, swim etc then fly back to Anguilla.

Yes, it is doable of course. St.Barths is not big and you can do a lot of things in a day.