cycling is a good idea. For example around the Bodensee. Or to the Grossen Säntis which is a mountain nearby in Switzerland. But in this case it will be better to take a bus.
In total, it's a nice,warm area of southern Germany to relax. Next to a region near Hamburg in the north (Altes Land) here are the most apple trees and other fruits which underlies the mild climate.
I may be wrong but concerning folk or jazz it seems to be desperately boring. Apart from festivals in Konstanz nothing happens which could be of your special interests.
Therefore, take the chance to relax with your family or relatives.