I don't know how contemporary you want the songs to be, but I've always liked some of the more up-tempo Barry White songs for a combination of cha-cha, Latin Hustle and swing -- all in the same songs.
These are hard to find on downloads or on CD, so you have to track down the LP and have it burned on a CD. But these are songs that were worn out for teaching those dances at the Fred Astaire studio I frequented in the late 1970s, early 1980s.
"Look at Her"
"Sha-La-La Means I Love You."
Both were on an album by Barry White called "The Man."