Help with account sync.

I need help with syncing my account. I play CCSS on my iPhone. I used to be synced with Facebook but I've deleted that account; it's gone. I still have my game progress though; the game uses my Apple ID now. I don't recall exactly, but I believe once King could no longer log in with the FB account it reverted to my Apple account. But despite keeping progress there are some in-game issues (no player avatars or names; just gray anonymous squares for each player). So how do I keep progress, tranfer account, etc., to make this account unbroken? How to I sync/tranfer this game when the data is saved through Apple, keep my progress and fix these in-game issues? Thanks.