Unless this is a new thing I don't recall Chexsystems reporting BK's in their reports. I know if you send them your BK discharge papers they will delete any and all entries.
I did this and was immediately able to get accounts with any bank that didn't pull an Early Warning report(namely the big 5 national banks, Citibank declined my application as a result). Early Warning is what they big 5 national banks use because Chexsystems is nice enough to delete entries, which they aren't really required to do, but do anyhow.
After pulling my Early Warning they told me they wouldn't delete entries, just update them as included in bankruptcy so I didn't even bother since I will just only open accounts in the future that didn't use Early Warning. I was trying to get the new account bonus with Citibank. 
It was like $250 or something lol