It sounds like you can satisfy the conditions necessary for a dispensation. Your bishop can grant the dispensation if the following conditions have been fulfilled: (1) you declare that you are prepared to remove dangers of defecting from the faith; (2) you make a sincere promise to do all in your power so that all offspring are baptized and brought up in the Catholic Church; (3) the other party is to be informed at an appropriate time about the promises which you are to make, in such a way that it is certain that he or she is truly aware of the promise and your obligation; and (4) both parties are to be instructed about the purposes and essential properties of marriage which neither of the contracting parties is to exclude.
Concerning being married by a priest, you will be required to be married by your bishop or pastor (or a priest or deacon delegated by either of them) unless you get permission otherwise.
