I don't know a whole lot about schools in the NY area. As sexy as attending school in NY is, it is not always where the best training programs are located.
The best school that I know of for people who want to go into musical theatre but are primarily dancers is Oklahoma City university's Dance department. In addition to a rigorous dance cirriculum, their students also take voice lessons and acting classes. It is a highly esteemed program in the musical theatre world.
As far as double majoring, in most programs that it difficult as majoring in any of the arts sucks up most of your time. However, at Western Michigan University there have been several students who have double majored in Theatre and Dance. Both are highly recognized, and nationally accredited programs. However, You would have to find a private voice teacher. Also the University of Northern Colorado has a Musical Theatre with an Emphasis in Dance program.
AMDA is a shot in the dark. The way that they put the program together, it's good for some, but not all.
"If this is going to be a Christian nation that doesn't help the poor, either we have to pretend that Jesus was just as selfish as we are, or we've got to acknowledge that He commanded us to love the poor and serve the needy without condition and then admit that we just don't want to do it." -Stephen Colbert