I‘m not so very familiar with this area of Germany, other than visiting clients but Tübingen is much nicer than Stuttgart, sorry I does not want to insult anyone from Stuttgart. Tübingen has a very old universitiy is a historical town and the surroundings and landscapes of Tübingen are very nice as well!
Sorry the link is German perhaps can google translator help but the link shows a nice motorbike tour starting in Tübingen at the north of the route. It should work by car as well. And you can make stops to have some walks during the tour.https://kurvenkoenig.de/motorrad/schwaebische-alb/tuebingen.html
I have some friends from that area and I will ask them, what they would recommend to see in addition.