Illness Benefit section can use computer systems to work out how much SWA has been paid, so that should not take long. Payment of IB issues once a medical cert has been received by them. That's why they can't tell you when payment will issue - it all depends on the receipt of the cert.
Were you collecting your SWA at the local post office? IB is paid by EFT into a bank account only - did you check your account in case something has been lodged?
If payment hasn't been made by IB this week, then contact your CWO for an emergency payment. Although they may only be available at the local health centre on Thursday mornings, there should be an emergency phone number you can contact for assistance.