You can appeal the dismissal of the private warrant that you sought which was dismissed by the magistrate. That is your constitutional right since there was a proceeding allowing the pre-warrant hearing. You need to be aware that appeals are expensive and time consuming.Typically there are specialists (appellate attorneys) who do nothing but appeals. If you are interested in appealing the denial of the private citizen warrant, I suggest that you retain an appeals attorney to do what you desire.Good luck.