I hate to say it but you have little chance of passing the FAA medical. The only way would be if they grant you a waiver and given the nature of your health issue you would have little chance. I talked to my flight surgeon friend and he agrees. He said maybe around a 10% chance. You can, however, get a LSA without a medical. The kicker here is that if you go for the medical and are failed, the LSA is off the table. So, if you want to pursue a LSA, don't try to pass the medical for Private first. In any event, I wish you the best in your pursuit.
Mike