A PBP medal? (Depends on when/where you do them all in a row.)

This challenge actually has a name: Per the Randonneurs USA, this is the P-12 Challenge.
A "Permanent" is any randonneuring route approved for riding outside of a sanctioned brevet. For RUSA credit you must be a member of RUSA, a member of your local randonneuring club, pre-register with your club's Permanents Coordinator, and get your Route Card signed during the course of the ride. Then you send it back to your club coordinator who gets the completion registered. At the end of 12 months you can apply for the P-12, and if the ride selections from your list are approved you can get a spiffy P-12 bling from RUSA.