Kickboxing or Japanese Jujitsu?

Why not do both? Cross train. Go for the grappling if you are a striker, go for the striking if you are a grappler. Judo evolved from JJJ because Kano did not like the help he got from his uke in the two man forms. His innovation, free sparring. Do you want free sparring? If this school has free sparring, then it is probably judo, or I'm wrong.