What I have seen with 3 of DS's friends who are 2E is that all of them chose private schools - but were very particular about low teacher:student ratios. These parents thought that the most important factor was the ratio because it let their kids get more attention from their teacher as well as more accomodations.
All 3 of them are thriving - 2 of them in classical education schools (interestingly, one of these schools segregates boys and girls into different classes and teaches them differently because their learning styles are different) and one in a montessori school.
I have come to believe - from observing these kids - that having a smaller number of kids in the classroom allows for more accomodation for any special needs (this includes giftedness, 2E etc) and the child does much better than in a class with 31 kids.
So, that might be a factor to consider.