This is a difficult one as this type of episode is a huge red flag on admissions. I do not think that involving yourself in organizations is in and of itself the answer. I think it would more be related to what you've done since the episode, evidence of your character and suitability for medicine. Some schools will not give you the time of day. Others might if you otherwise have a clean record. There is no time line, but I think 4 years is enough time to move forward and see what happens. Best of luck.