This site is a great help to pick music. But when I am helping people pick music for a wedding, for fox trots, waltz, etc., I do have a few favorites.
Beyond the Sea and I'm Beginning to See the Light, both by Bobby Darin, are fun for Fox Trot. "Now or Never" by Elvis is a great Rumba, as is "Sauvecito" by Malo. Most of Sinatra's songs are great for Fox Trot, but I always pick "Just the Way You Look Tonight."
"September" by Earth, Wind and Fire is a nice cha-cha, as is "Smooth" by Santana.
For fun swings, Benny Goodman songs are usually pretty good, and for the waltz you can't lose with "Moon River" by just about anyone, or "Fascination" by Nat King Cole.
There are websites that also help you pick Mother-Son wedding dances, Father-Daughter wedding dances, etc.
You are on a tight schedule, but this part of the wedding planning should be a lot of fun.
Oh yes, I know a few couples who liked "You are the Sunshine of My Life" by Stevie Wonder for a Fox Trot, but I think it is rather fast and you have to be a pretty good dancer to pull it off, mostly in switching to a quick box step and getting outside partner to travel a bit with it.