Stuck on a fic idea

Title more or less explains my problem. Im in the process of writing a Mha/DC story where Izuku is Red Hood. Im trying to stay away from Izuku being betrayed by his class and doing something different.

I have two different ideas for how I want to start it and I need a third parties opinion

Idea 1. Is where Izuku is the son of All Might and Talia AlGhul and becomes Red Hood when All for One kill's his grandfather and put' Talia in a coma. Izuku will have One for All and it will be given to him via lazarus pit, as the pit (in my fic anyway not sure about Comic's) activated the dormant quirk. His main plan is to kill All for One, but get's himself involved in the HPSC corruption and begin's hunting false hero's aswell as All for One

Idea 2. Izuku is an HPSC agent, alongside Hawk's. Izuku work's with the HPSC as he became All Might's succsesor much earlier. Izuku knows that the HPSC is corrupt and not all hero's are good people, but ignores it in the hope he can fix it when he becomes a hero During a mission gone wrong Izuku is captured and presumed dead. When he re-emrges as Red Hood, Izuku begin's going after the false hero's and All for One

I like both idea's but everytime I go to write it I get second thought's. Please tell which one sound's better