My idea for Jason involved him either a) becoming a member of the Suicide Squad just to fuck with Bruce's head or b) becoming Red Robin and traveling around Europe fighting ninja's after Bruce's death. The 'pro-active team who crosses the line that other teams won't' fits more with the SS than the Outsiders. Besides my ideas for the Outsiders is that while the JLA are the 'League of Gods', the Outsiders are the 'badass normals of the DCU' (with a few metas like Black Lightning and Grace) who works behind the spotlight.