I will echo the advice to research carefully. I know kids who started at acronym schools and transferred to Walnut Hill because they really wanted the intensity in dance, and academic demands really didn’t leave room for dance to be as central as they’d wanted.
There are also schools with well developed modern programs but not so much classical ballet.
I also know kids who have made dance their focus and are doing that FT in NYC and attending school for professional children.
What I am saying is that you may want to start by figuring out where dance, and specifically ballet, fit on the priorities before you start working through options.