As Roger correctly says (and as has been widely publicised), there are special requirements for non-EEA passengers; to quote from
www.ryanair.com:
Irrespective of a passenger’s visa requirements, all non EU/EEA citizens must have their travel documents checked and online boarding pass stamped at the Ryanair Visa/Document Check Desk before going through airport security
It
doesn't say that internal/Schengen flights are exempt, and knowing that Ryanair, until recently, did not allow non-EEA nationals to check in online at all, even for internal flights, my interpretation is that non-EEA nationals have to have their documents checked for all flights.
I don't know what a Swedish ID card looks like, and whether or not it contains information about the holder's nationality. If it does then my interpretation would be that the OP would need to go to the visa check desk because the T&Cs specifically say that this requirement applies to
all non EU/EEA nationals, and an ID card issued by an EEA member state does not turn a non-EEA national into an EEA one.
With an expired residence permit I'd play safe and go by train...
PS Welcome to Flyertalk,
leo99