I would guess that most banks (especially large ones) offer a way to transfer money online. Can you do that manually, for now, through your company's bank account?
We do the people at the same bank get free transfers, it's out of bank ones is ~5$ per transfer. The bank recommended using viewpost which charges at 50 cents/transfer but from their site they say they should not be used for payroll, and require the other side is registered on their network so it isn't just a routing+accounting numbers push ACH transfer.