Goppingen is near Augsburg, which is worth a day or two visit, historical nice city. Of course, you're not far from Munich which has a tremendous amount of things. If you want more nature, you can look south of Munich towards Starnberger See and the whole region has hills, water, cute little towns. You could fly out of Munich, which is a major air hub. Any reason you want to rent a car instead of taking trains?