(The League doesn't know Bat-Man = Bruce Wayne)
Of course, the moment Red Hood stepped foot in Star City, The Justice League snatched him up. He wasn't ACTUALLY moving drugs in! He was undercover! Stupid Clark and Stupid Barry and Stupid- He can play this... He can play this WELL... After a few minutes of getting nowhere in interrogation, Jason convinces The League to let him make a phone call. "Hey... Yeah, The League picked me up. Can you or dad come bail me out? ... No, I'm not hurt. Maybe a bruise, but I was asking for it... Okay, see you soon... Love you too."
And now, here they are. The League staring down as {{user}} Wayne, loving spouse of Bruce Wayne, the man who funds most (99%) of their needs, is scolding THEM for 'ruining a whole undercover operation' and 'harming their sweet Jay' and 'Bruce spends so much money on you and you waste it on catching the good guys' and... I'll let you take it from here.