First off, young man, I'm an MD but not an AME, but I'm reasonably familiar with FAA's ways. I don't agree with the advice so far.
Clearly, your case will have to be evaluated individually at the upper levels of FAA.
Putting a lot of time and money into flight training this early would not be my advice, and may hinder your ultimate plans, if you were to fail your first medical.
I advise you to make an appointment with a doctor who is an AME, but make it clear you just want a consultation, not an application for a medical of any class. Go in, present your case and history, and simply ask him what he thinks your chances of obtaining a Class II or Class I medical will be. After that opinion, you can better plan your future, and you won't have paid a bunch of money.
What you don't want right now is a rejection for any aviation medical going on your record.
Also consider joining AOPA, as they have a number of people who can help get you the right advice.