I think the IBANs on Transferwise are considered 'shared'. Because each time you want to send a SEPA transfer to your Transferwise account you see TransferWise' bank details and a reference code. When the IBAN is 'dedicated' there is no code.

Yes, it's true you can't receive funds coming from a bank account not in your name, they won't credit it and reject the SEPA.

Have you looked into Transferwise as a suitable option? They even used it to send payments, and they can directly pay to your transferwise account, there's a link below.

https://transferwise.com/help/15/paying-for-your-transfer/2956754/what-are-sepa-transfers

You can try https://www.monvenience.com/. They allow you to open IBAN from anywhere in the world. You can accept or send SEPA or Swift payments with your unique IBAN. Also they allow 25 currencies in single account. But do check their feedback before using them as I never tried their service.