Yes Bridgehampton is a lovely community. Some of it is in SC and some is in NC. You are correct -- the SC side would be assigned to SC schools and all SC laws. Regarding income tax, there is a thread on this board relating to taxes if you live in SC and work in NC.
IMO John Wieland is a very good builder. Last year, elementary was Hawk Ridge (this coming school year it will be Elon Park, but housed at the new Flat Branch elementary which is being used as a swing school until Elon Park is completed), middle is Community House and Ardrey Kell High. For comparative school information, check
NC School Report Cards
On the SC side, schools currently assigned are Indian Land schools (Lancaster County) For school info, check
School Report Cards - South Carolina Department of Education
Not sure about your wife means by anyone deciding to change anything, but this community has been this way since it was built. But you will certainly have many options at that price point. Best of luck to you
