Much of Europe pays for POS transactions with free, fast bank transfers from their smartphones in lieu of credit and debit cards. No checking account, routing number, and 3 business day verification crap.
Transferring from them to BoA or another institution likely wouldn't work but I have no expectation that it would (at least not without meeting in person etc).
I logged into WAMU's web site to find out the amount and procedure, printed off the reply, and took it to the bank. The nice lady in the banking lobby took my printout and did the transfer. The fee was $15, IIRC, in 2007.
Wire transfers do entail some extra work, because the transaction is cleared in real time, whereas ACHs and bill-pays and paper checks are cleared (or bounced) in large batches that are processed daily.†
†http://www.depositaccounts.com/blog/difference-between-wire-...
Perhaps that has something to do with it.