Driving is the last thing I would not do. To expensive, burdensome and quite a long way. My proposal: Stay the night in Nuremberg, the city is quite nice and worthwhile a visit and you do not need to drive. From Nuremberg you can easily book an AF return for the 2030 flight on April 24 (forget about the return) for about 90 Euro to Paris or you decide to go via Berlin (and stay a night there) on Air Berlin for about 120 Euro.

The 2nd class on DB trains might be caspritz78's proposal, but it is not mine. The peace and the quiteness in a first class coach (plus the extra space) is to my belief certainly a good investment of the little surcharge for "Sparpreis 1st class" - you normally do not need a reservation on a Sunday in First Class, this makes the price difference even smaller.