What do you believe is “the Church’s stance on dance?” She does not forbid all dance, just dance that is immodest or inappropriate to the person or occasion. Some saints strictly forbade all dance because of its use in specific situations by the people in his care. St. John Vianney forbade all dance because it had become the ruin of the simple peasant folks in his parish. St. Francis de Sales permitted it in moderation when used by his socially prominent parishioners. Dance, if performed modestly in the proper setting can be edifying to both dancers and those who watch.
I’m not sure I know what is meant by “classical music inspired by dance.” Generally, classical music is considered one of the higher forms of music. Can you give an example? I don’t see why listening to it should be an occasion of sin. Isn’t dance normally inspired by music, not the reverse, as you propose?