Years ago I registered some domains using a now expired university email address. The other contact details for the registered owner (postal address and phone number) are still correct. In order to change/update the email address, the registrar wants to charge £20 a domain.

I would like to transfer the domains away from the current registrar. I can unlock the domains and generate an auth code. However, I cannot authorise the transfer by email as any emails sent to the registered owner's address will bounce. This seems to rule out most registrars I have tried.

Are there any ways to transfer these domains without paying the £20 fee to update the registered owner's details?