I just initiated deposits from AP to BB for verification via "Manage my bank accounts". I think it will work as I compared with my other linked bank that was verified via deposits, and it looks like AP verifies via deposit only (doesn't withdraw). Instant verification is not an option for BB in AP.
I hope it works as I can see this being a very convenient option to merge AP account(s) balances to BB and use it as centralized source for CC payments.