While both are outstanding academically, these are two very different schools for a variety of reasons.
You should visit each school before applying.
Might be worthwhile to ask for schools which are similar to Williams College as there is no guarantee that you will be offered admission to either school.
Also, it might be difficult to find a school similar to Vanderbilt since you want to major in psychology & minor in business while also taking music classes in a well respected school of music.