Transport from Motala to Linköping

Hi, I am staying at Linköping in the days around the Vätternrundan event, and i am trying to plan the logistics, but the ’six hours rule’ is complicating things a bit.

Does anyone know if it is possible to bring my bike with me on the train from Motala back to Linköping when i have finished the race? Or are there other types of transport available where i can bring my bike?

As I see it now i have several options:
a) stay for six hours at Motala and then drive back (starting at 00:02 i know i will want to see my bed sooner),
b) run the bike the additional 40+ back to Linköping after finishing (not that great after 297k),
c) hire a taxi (rather expensive),
d) or?

Any advice appreciated,
Best regards,
Michael