M.E.Y
With a Super Sparpreis ticket it is not possible to take another train from Basel, but, if you miss the connection in Karlsruhe, you can can take another train to München Hbf. The problem is that you have a direct ICE only every two hours, otherwise you must take a regional train and change in Stuttgart Hbf.
If you arrive with a delay of 60 minutes or more in München, you can obtain a compensation (except for external causes, for example police intervention, medical emergency).
If you have problems, don’t hesitate to ask the train crew or the ticket office in Karlsruhe.