Welt: From what has been said, I think you are pretty well limited to three options for the kids: La Romana's Abraham Lincoln School, any one of the good schools in Santo Domingo (all less than $4000 a year I do believe) and Santiago's Christian School.
La Romana is a wonderful city with a vibrant and truly intelligent middle class. A couple of introductions and unless you go around behaving like an idiot, you will be quickly taken into the fold.
Downside: Limited access to really great medical help--that's in Sto Dgo. Far away from the rest of the country.
Upside: Good school, nice people, winter baseball, fantastic to die for golfing, quiet life style possible. Cultural activities at Altos de Chavon major +.
Santo Domingo:
As I see it a lot of downside: Traffic, random idiocy, too much one-upmanship. Cost of living can be very high. Great apartments can go for US$3000 a month.
Upside: good to great education, outstanding entertainment activities of all sorts.
Santiago:
Upside: Big city with small city feel. good educational possibilities-perhaps more viable to the needs of gifted (but so are the schools in La Romana, and Sto Dgo), but much closer to personal contacts, not so distant as I hear some are.
Cultural activities: Centro Leon, Regional Theater, lots of music. Sports. Nice clubs.
You are 1 1/2 hours from beaches or mountains. There is golf, horseback riding, and every sport you can think of just a few minutes away. Traffic is not an issue.
University (PUCMM) is top class and well recognized around the world. Cost of living is far more reasonable than Santo Domingo. Everything is available. (Except Wal*Mart)
Downside: Sort of clannish. But once you get to know the folks they are really nice. Some folks have trouble doing this, but with two kids in school it will be a lot easier to make friends.
And, there is Punta Cana. "Oh my God! Punta Cana?", you say.
Yes, Punta Cana. At least four persons I know pretty well have settled out that way. Not all is perfect, true,
Upside, No traffic, good schools with flexibility for the gifted. Some cultural experiences are available--many involving ecology. Elite population. Few idiots out that way. You are on the ocean and everything that goes on there!!!!
Down side: Can be pricy. You are way away from the rest of the island, hurricanes are a reality, not a news item. Small pool of people who are residents full-time.
So, I would be of that group that says: Come on down. Look around, and see what you "feel" is right. Stay a couple of weeks in each place. Meet and greet. I am pretty sure that you can make the right decision.
HB