From what you say you've 'done everything'. Assuming that's the case, you may have to reinstall Chrome as Bob suggested.
I see you tried the AdwCleaner. Have you tried the Junkware Removal Tool?
The avast! Browser Cleanup (free) tool claims to remove Babylon. Have you tried it? Please note, I haven't tested it yet. Very rarely (if ever) will I suggest a tool I haven't tested first. So you're on your own should you decide to .. "accept this mission".
Best of luck..