Balboa is a swing dance so, ostensibly, it can be danced to any swing music. However, each of the swing dances have distinct basic rhythmic structures - different combinations of steps, holds, triplesteps etc. - meaning that different tunes will generally inspire dancers to choose one dance style over another (or at least to influence the way in which they dance within a particular style). So, although a musician will correctly tell you that there is no such thing as "Balboa music", a good musician with experience playing for dancers will know that some tunes will suit the dance better than others.
Here are a few of my favourites tunes for dancing Balboa (at least some of the ones I could find on Spotify). I do hope you enjoy them. However, if you find they are a little quick for you, remember that we also have a Beginners' Balboa Playlist that will start you off at a gentler pace.
[Edited 02 February 2015]